This might not be everyones opinion but my recommendation would be to get a plunge saw as your first tool. For me it was a big revelation that everything I built in shop class looked so terrible because we werent allowed to use power tools. Cutting a straight line with a hand saw is a skill that needs a lot of practice, same for joinery with chisels etc. But a plunge saw with track will give you very straight cuts for not so much money. And IMO it can do everything a table saw can do, just not as quickly (repeated cuts etc.) But on the other hand I think it makes more sense to get a decent plunge saw that you can keep for years and still use for breaking down sheets even when you decide you prefer a table saw rather than buying a cheaper job site table saw that you outgrow after a couple of years.
I agree, of course every tool has some limitations. I think a set of parallell guides can also make the plunge saw much more versatile without breaking the bank. And the set i have also works well for narrow rip cuts, exept when the piece is really small to begin with. And as you say an MFT is great for repeated cuts. As another comment mentiones together with a mitre saw and some jigs i think you could replace a table saw functionally, but its probably not the most efficient way of doing some things.