Had upvoted, already compelled to respond, then I saw 'Mod', and now the response seems silly, or w/e, but I gotta say, "I think... exactly!"
This is the third time I am bringing up the fact that being used to "foo" and "bar" littering my ... previous coursework ... is feeling like something of an 'advantage' here, where the context broadens the playing field, where the drunk parrot is merely the foo'd bar or, perhaps foo(bar) returns a drunk parrot... but in any case, the point may not be to be overly analytical of what the 'sentence means', because we are not here to learn what sentences mean, we are here to more deeply appreciate the meaning, and sometimes, as you point out, the precision of words.
The plate being under a piece of bread does not and should not imply adjacency.
Is this a regular situation? i mean, the plate being under the bread... Are these just random words to make us articulate the sentences or is it an actual or possible way of saying there's bread on the plate? Otherwise it could make sense if there's too much bread and you lost the plate and ask where it is... There may be an imaginable context for every sentence, but this one needs such or is it a natural way of describing an ordinary situation as a plate full of bread?
I prefer the drunk parrots, i accepted that, it is now, and must have been even more curious for Romans that a bird could learn to repeat words and songs..
"Regular" depends on context. Recall the famous scene in Aeneid 7.107.116 regarding the Trojans eating the Cereale solum, the round cakes (similar to pita bread) devoted to Ceres strewn on the ground on top of which they put their food: 'Heus! etiam mensas consumimus,' inquit Iulus, nec plura adludens. Iulus is kidding around but it turns out to fulfill the oracle of Anchises.
You posed a couple questions, but I'm just gonna jump on the first one because it has piqued my interest over the last 24 hours or so...
I think they are 'random' words, but I think it is worth pointing out that I think they are random within some constraints. Take for instance, the most Politically Correct version of your 'anecdote' (de-randomized):
The modified subject verbs the secondNoun adverbly. The subject adverbly verbs the thirdNoun. My modified noun boolean expression adjective, ProperName!
(kinda sloppy, but hopefully you/someone gets my drift and finds it mildly entertaining)