My 23" Samsung is 2K and I can see the pixels, which obviously means they're too big, so for anything larger 4K would definitely be an improvement.
You can get less expensive TV sets than this range. DVDs really do look as crappy as VHS did now, unless you're on a relatively tiny screen like we had in the 90s. Even Youtube supports 4K, so distributing content is a non issue these days.
Personally I'll probably skip a generation and wait for the 8K screens to come down to sub £1000. I find if I don't wear my glasses, my existing set is fine

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