Not "Max" as I think this is a pointless pursuit given every game has a different set of settings ("Medium" on game X might be better looking / more demanding than "Max" on game Y). Even for given game, the definition of 'max' can vary dependent on what hardware you have (i.e. higher resolution monitors can run higher resolutions). But I have delayed playing games in the past until I have upgraded.
An example is Quake 2, I didn't buy that when it came out, I waited a few months until I bought a 3dfx card (I literally bought the graphics card, an extra 32MB RAM and the game on the same shopping trip). Control I waited until I had an RTX card.
So for me it's as much about having features available rather than max settings, i.e. if a new technology comes out that my current hardware doesn't support, then I might delay playing games that use that tech until I've upgraded.