In science and mathematics, the space of conjectures has been honored. Will conjectures be honored in this forum? " The physicist used his conjecture about subatomic particles to design an experiment." Many open conjectures have been challenging scientists and mathematicians for centuries. https://en.wikipedia.org/wiki/List_of_conjectures
Conjecture: AWE will blossom one day to be more massive than towered wind energy machines.
A proof is not known by the present author for or against the above conjecture. Yet, a serious worker might rise up and conjecture as stated. The word conjecture needs not to be placed as a preamble to a conjecture. But a reply poster might wonder: did the poster make that statement as a conjecture or does she have proof of the statement (thus not conjecture)? People skilled in certain arts may have deep urges that well up into conjectures. Others might try to prove or disprove interesting conjectures; such effort may further a field of interest.
Once a statement that had been a conjecture has been proved or disproved, then the statement would no longer be a conjecture. Some conjectures have spurred thinkers to very valuable results.
Suppressing conjecturing in AWE might well damage AWE. I am concerned about the forum’s policy note found: “The burden of proof rests with the poster”. (italics added) Traditions in science and mathematics seemingly differ from that policy. Conjectures seem to invite proofs or disproofs from anyone in the game, not just the conjecture maker; spread the burden! If one reads a forum-posted conjecture, one may choose or not to prove or disprove the conjecture. Caution: Recall that history has seen “proofs” that were later found to be faulty to the point of not being a proof.
Close cousins? Predictions, guesses, estimates, gut beliefs, opinions, accusations, declarations,…
Giving counterexample for a universal statement closes a matter. E.g. “All wings are blue.” Counterexampling with a show that a wing that is all black and not blue, would disprove the offered universal; then one may state well: “Not all wings are blue, as at least one wing is all black and not blue; see the example.”
Consider surveying the forum for conjectures. Be ready to find a great many conjectures spicing forum posts.