As someone who has actually done a bunch of post-WW2 miniatures wargaming; the games and miniatures are out there. The problems are just this:

There's a fucking weird attitude that pretty much only occurs within the toy soldiers sphere about something being 'too recent' Even for wars they have literally no connection to. The people who bang on about this are usually still happy with literally any other media or entertainment on the wars in question. Movies. Videogames. Scale models. They're also still fucking weird about it with fictional wars. Many of these people also never served. Not all though. But many.

The closer you get to present day, the less suitable for miniatures gaming the wars get. This isn't an attitude thing, this is simply a lack of solid information to base games on, and that the technological problems created by newer gear requires different approaches by designers. The speed and destruction of properly modelled modern combat (at the larger scale especially) is also something players frequently can't deal with - it's too much to manage. I've seen it time and again that the average player cannot deal with things like:
Thermal imaging systems vs not having them
Artillery genuinely fucking up stuff.
Very expensive helicopter gunships getting destroyed because of slight mis-plays bringing them into AA range.
Very expensive helicopter gunships played right shredding entire tank companies without being touched.
Very expensive tanks getting blown up by cheap infantry because they were not screened properly (Grozny '95 anyone?)
And this is before getting into even more modern combat than late '80s stuff. There's a lot less intuitive/institutional understanding of how shit works, and there's far less room for error because the amount of firepower being thrown around at every level is vastly more than in WW2 and earlier.