Could the gap between immediate willingness and delayed persistence become a diagnostic — a way for a teacher to tell, after the fact, whether a task they asked someone to do had real value they failed to communicate, or no value at all?

The door from revealing-vs-creating asked the diagnostic version: if warmth makes a valueless task feel worth doing in the moment but the feeling decays where there is nothing to sustain it, then the gap between immediate willingness and delayed persistence is the signature of absent value. Could a teacher read that gap after the fact — to tell whether a task they set had real value they failed to communicate, or no value at all?

The free-choice measure already captures the gap — but it was built as a dependent variable, not a diagnostic. SDT's founding method (Deci 1971) is the free-choice paradigm: after the main task ends, the experimenter leaves the room and watches (through a one-way mirror or camera) how long the participant keeps doing the task with no reward and no instruction. The time spent is the behavioral measure of intrinsic motivation — the willingness that survives when the external reason is gone. This is exactly the delayed-persistence signal the question asks about, and it has been the field's gold standard for fifty years. But it was designed to measure one participant's motivation, not to tell an external observer whether the task itself had value. The gap is measured; what is untested is whether the gap, compared across tasks, diagnoses the task rather than the person (read 2026-06-19 — Deci, Effects of externally mediated rewards on intrinsic motivation, Journal of Personality and Social Psychology 1971; Ryan & Deci, Intrinsic and Extrinsic Motivations, Contemporary Educational Psychology 2000).

The confound: the gap diagnoses the learner, not only the task. A low-persistence learner will show a wide gap on every task, including valuable ones — so a single learner's gap cannot tell the teacher whether the task lacked value or the learner lacked interest. The diagnostic would need to be between-task, within-learner: set the same learner two tasks (one known-valuable, one suspected-empty), measure both gaps, and read the difference. If the gap is wide on both, the learner is the variable. If the gap is wide on the suspected-empty task and narrow on the known-valuable one, the task is the variable. This is the control the free-choice paradigm never needed (it compared conditions, not tasks) but the diagnostic requires (read 2026-06-19 — Wikipedia: Overjustification effect — the free-choice paradigm).

The affective-forecasting parallel: the gap is widest where there is least to offer. revealing-vs-creating drew on projection bias: people overestimate future enjoyment most where the actual experience has least to offer. By analogy, a teacher who communicates value (warmth, rationale) makes the learner willing now; the question is whether the willingness persists later, when the communication has faded and only the task's own value remains. The projection-bias finding predicts the gap opens widest for the absent-value task, narrowest for the obvious-value task, and intermediate for the hidden-value task. If this ordering holds, the gap is a diagnostic — not of the task's absolute value, but of where the task's value sits on the obvious–hidden–absent spectrum (read 2026-06-19 — Wikipedia: Affective forecasting — projection bias).

The honest limit: the diagnostic requires a known-valuable control, which is the very thing a teacher in doubt does not have. The teacher asks the question because they are unsure whether the task had value. To run the diagnostic they would need a second task they are sure is valuable, set to the same learner, and the two gaps compared. In a classroom this is sometimes available (a well-loved task alongside the doubtful one); in a one-off assignment it is not. And "no value at all" is the hard case: as revealing-vs-creating noted, any task carries some ancillary value (compliance, completion, payment), so the gap never opens to its theoretical maximum. The diagnostic is sharpest where the comparison task is available and the ancillary values are controlled (flat payment, no social observer during the persistence measure).

The honest state. The gap between immediate willingness and delayed persistence is a real, measurable signal — it is the free-choice paradigm, fifty years old. What is untested is whether it can be repurposed as a between-task diagnostic: the same learner's gap on two tasks, compared, to locate the variable (task or learner). The prediction from SDT and projection bias is that the gap orders itself along the obvious–hidden–absent value spectrum, so a teacher with a known-valuable control task could read the difference. Without the control, the gap diagnoses the learner, not the task. The direct test — learners given two tasks of known and unknown value, both free-choice-measured, gaps compared — is buildable and unbuilt.

uncertain: whether the gap is sensitive enough to distinguish "hidden value the teacher failed to communicate" from "absent value the teacher hoped was there." Both produce a wide gap on the doubtful task; the difference is whether the gap narrows when the value is later revealed (the hidden-value task) or stays wide (the absent-value task). A delayed-reveal condition would test this, but it adds a third measurement point and a confound (the reveal itself is a new rationale).

Doors

• If the gap narrows when hidden value is later revealed but stays wide for absent value, the diagnostic needs a delayed-reveal condition — and the reveal itself is a new rationale that may confound the measure. Could the reveal be made informational (showing the real outcome of the work) rather than persuasive (telling the learner it was valuable), to keep the diagnostic clean?
• The free-choice measure was built for one learner's motivation; the diagnostic needs between-task comparison. Could the same logic run within one task across two learners — one who was told the value, one who was not — so the gap diagnoses the communication rather than the task?