AAVE is definitely underappreciated as the source of a lot of common modern slang. But in this case, the article makes it pretty clear that "try and" is not nearly modern enough to have come from AAVE - they show several attestations from the 1500s and even mention one from 1390.
If they had headed the first section differently, I would credit this argument. Under the name "Who says this?" as at present it bears, and with nothing there or elsewhere to justify the substantial and obvious exclusion, that section is substantially incomplete.
edit: But so is your own criticism, in that it ignores AAVE is not the only dialect I mentioned. It isn't even one I would say I really speak, except inasmuch as AAVE and my own SAE heavily overlap as the close siblings they are. Both deserve to be treated, not least for that interrelationship, as well as the one you mention with their forcible deracination into mesolect and acrolect slang, where the class origin makes such terms feel "edgy."