Are there studies to show those paying $200/month to openai/claude are more productive?

Anecdotally, I can take on and complete the side projects I've always wanted to do but didn't due to the large amounts of yak shaving or unfamiliarity with parts of the stack. It's the difference between "hey wouldn't it be cool to have a Monte Carlo simulator for retirement planning with multidimensional search for the safe withdrawal rate depending on savings rate, age of retirement, and other assumptions" and doing it in an afternoon with some prompts.

For curiosity, how complex are these side projects? My experience is that Claude Code can absolutely nail simple apps. But as the complexity increases it seems to lose its ability to work through things without having to burn tokens on constantly reminding it of the patterns it needs to follow. At the very least it diminishes the enjoyment of it.

Simple apps are the majority of use-cases though - to me this feels like what programming/using a computer should have been all along: if I want to do something I’m curious about I just try with Claude whereas in the past I’d mostly be too lazy/tired to program after hours in my free time (even though my programming ability exceed Claude’s).

I work at an Amazon subsidiary so I kinda have unlimited gpu budgets. I agree with siblings, I'm working on 5 side projects I have wanted to do as a framework lead for 7 years. I do them in my meetings. None of them are taking production traffic from customers, they're all nice to haves for developers. These tools have dropped the costs of building these tools massively. It's yet to be seen if they'll also make maintaining them the same, or spinning back up on them. But given AI built several of them in a few hours I'm less worried about that cost than I was a year ago (and not building them).

It's subjective, but the high monthly fee would suggest so. At the very least, they're getting an experience that those without are not.