Suppose you're buying it to play games with rather than e.g. for machine learning. Then the benefit you get from it is proportional to some measure of
gaming experience, which is not necessarily proportional to "performance".
For instance, suppose some not-too-demanding game runs, at quality settings you find satisfactory, at 50fps with one GPU and at 100fps with another. You are not going to enjoy playing at 100fps twice as much as you enjoy playing at 50fps.
Suppose it's 20fps versus 40fps. Playing at 20fps might be a horrible enough experience that 40fps really is twice as enjoyable; but in that case you probably won't play at 20fps, you'll turn some settings down so that everything looks a little fuzzier or the reflections aren't as realistic or something. You'll get a worse experience with the worse-performing GPU, but again it's unlikely that you enjoy your games half as much.
Even if you are doing something, like training neural networks, for which twice the performance really does translate into twice as much benefit in some meaningful sense, that's not necessarily the same thing as "worth twice as much money". It might be worth more than that (now you can train the NN you're working on in time to get a paper into that important conference, and before you couldn't). It might be worth less (training neural networks isn't a large fraction of what you do and you don't really care much how fast it happens).
Analogies: A car that can drive at 200mph isn't worth 2x as much as one that can do "only" 100mph, to most people; to a racing driver it might be worth a lot more than 2x. An oven that can heat things up to 600 degC isn't worth 2x as much as one that can reach "only" 300 degC, to most people; to a pizza chef, it might be worth a lot more than 2x.