Kayaker: I do not know the term, but can attest first-hand of how several different species of ‘parrots’ do exactly as you say, and one species that does not (at least the one we have of that species.
We used to have an Umbrella Cockatoo who would poop as soon as he was set upon his largish cage (off top edge on cage onto newspaper on floor under his ‘favorite spot’). Made keeping his night-cage clean SOOO much easier. Rarely was there any poop in night-cage.
And we currently have a Nanday conure and a Quaker/Monk parrot – the Nanday definitely holds it in until taken from night-cage around sun-up and placed upon his perch (on opened door) of largish day-cage. Prodigious amounts of poop are quickly deposited onto the paper on floor underneath within a few seconds or so of placing him there. If I take a minute or two extra in getting him to day-cage perch, he acts very frustrated and signals that I better hurry. Sometimes, I wonder how the Nanday can hold so much volume of waste in the relatively small body of his!
Now the Quaker will poop anytime/anywhere, but always smallish amounts that kinda pile up down one section of ‘wall of his night-cage’. Easy enough to keep clean, but it does build up regularly day-by-day. I’m so glad that the Nanday does not do such
I wonder if there is a species difference in ‘parrotiae’ that affects this differing behavior, or if it is a learned thing of some sort. I can also say that when we had the Cockatoo, if he was on couch or elsewhere playing/snuggling indoors, he would hop to floor and walk to his day-cage, climb up and poop off usual area of edge of cage, then return to what he was doing previously. He rarely dropped a load away from his ‘usual spot’ indoors, but if we were outside playing on the play-stand of branches I tied together for him (we kept his flight feathers clipped, fwiw) or walking through parks, etc, he’d want off the person and onto some type of ‘perch’, like top of a fence, park bench, or on a low branch of tree, etc. Fairly set in his way of how he did his business, no doubt.
And, fwiw, there is a great forum with ‘expert’ keepers of large parrots called mytoos.com that might be worth your perusal if inadequate answer(s) gotten here. I have no personal relations with this website, but found LOTS of knowledge there - focus on Cockatoos, but lots of the folks there keep multiple large species as well.