So, a possible reason why they have a greeter:

Some GEs are owned by corporate, some are ‘franchises’, the Edgewood location is a franchise; found this out by asking at another GE, a ‘corporate’ one, why their location didn’t have the same products as the Edgewood one, and that was the reason that Customer Service gave me, that ‘franchises’ have a lot more individual control over what they stock. So that store’s franchisee, or their manager, has decided to have a greeter, for whatever reason. Maybe at the beginning of Covid it was to check for mask-wearing and dispensing disinfectant supplies and decided to keep them?

When I’ve gone there, the only greeters I’ve seen are either an older, tall, skinny, balding white man - I think he’s the manager? - or any one of a half-dozen older white women, who usually hand out the flyer with the week’s sales. They also usually have security there too, most often a guy from a contract place, but sometimes off-duty cops from either the county or Edgewood Borough.

As for why you got treated as you do, no idea; I’ve always worn a mask going in since Covid first hit and that’s never happened to me, and I’ve never seen any of them ‘lecture’ anyone of any presenting gender; at most, they’ve just said “Hi, would you like a flyer”, maybe occasionally talking up a particular sale, once I heard a “Go Steelers” before a particularly important game upcoming.

So I’m going to have to go with 4. None of the above, it was something else.