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A VAC ban doesn’t remove access to your steam account. Just to one game on your steam account.
Well, that and all the games that instban you from playing if you have a vac ban on record, first example being various squad servers, and the software behind that.
Being banned from accessing services isn’t the same as being prohibited from using your property. You are still perfectly legally entitled to play your game single-player (for example) no matter how many VAC bans you get.
Has nothing whatsoever to do with steam or valve…