I've had a lot of experience painting. As others have said these rattle cans are loaded with solvents. This is to make it thin to help avoid orange peel and to make it dry fast. Fine if you are spraying one color and done as most DIY'ers are just going to spray it on something and probably go on too thick and be done with one layer. Not fine for what you are trying to accomplish here. You are right about misting on layers as it will help not cause the spidering. What is causing the spidering is the solvents still escaping from the coat you are laying a new coat on top of but being trapped under this new coat. You can get lucky most of the time and not have an issue. However quite often you will have this issue and it seems no matter what you do you can't avoid it.

I never use rattle cans anymore. I use premium 2 part automotive paints and hvlp. But I'm pretty dang serious when I paint stuff. You can even use water based paints from a premium company like Sherwin Williams and thin with water if you can wait on drying time. Thin with acetone it you want it to dry quicker. Using an hvlp isn't for the meek. It takes practice getting the right speed and distance combination to lay it slick without it running. Its been worth it to me. I've painted pins, coffee tables, restored costco metal chair/stools, headlight lenses and even two of my own cars using either water based paints or two part base paint and 2 part clear coats and I'm just a hobbyist.