I can't pretend that I have tried to follow every twist and turn of this exchange of views; life's too short
But there is one word, 'allot', which doesn't mean 'a great many'. And there are two words, 'a lot', which do mean that. Using that expression, spelt as a single word, is a mistake.
It is a mistake that is very common, however, in colloquial contexts; if I were a linguist in the 22nd century, it seems to me quite possible that my doctoral thesis might track the increasing acceptability of "alot" in a range of contexts starting as a colloquialism in the second half of the 20th century. Today, however, it's just a mistake; a lot of words started life as simple mistakes.