Yes, I would think of it as higher incomes increases a persons opportunity set.
If your circumstances/skills/knowledge/intelligence are such that you are limited to minimum wage in your adult hood, then pickpocketing, sticking up a bodega, or breaking into peoples cars may appear to pay out better than if you are making 6 figures straight of college at a FAANG.
And risk-reward evaluation is going to differ based on where you currently are in life.
If you make a FAANG income, the idea of being charged with a crime / going to jail is very unappealing and hypothetically career ending. If you are making minimum wage in a dead end job, then having a criminal record isn't going to reset you downwards post-crime.
I would also say there is probably some inverted causation on all the above. Someone who considers carjacking or gets into bar fights is also less likely to be someone to be able to seek education and hold down a steady high paying job. The people you know from high school who ended up with criminal records by their 20s are probably not surprises, and you might have been able to guess who would have those records before the end of elementary school.
Re: whether randomly giving people decreases their proclivity to commit crime.. I would point out the COVID era we had some historically high levels of stimulus, unemployment payments, loan/rent/mortgage/etc forbearance, etc.. and yet crime levels shot up nationally.
This may point to other factors as well.. like young males having time on their hands being more likely to do stupid things.