I think “try and” is used more by children than by adults, which is why it works well in this sort of playful, childlike phrase.
Different sociolinguistic register, innit.
Basically yes, but I do hear nuance, idk if it's right - "try and" feels more daring, like "I think you can't", while "try to" feels more neutral, just a command.
You are right on the nuance. "try and catch me" for me, means I'm going to give it my all not to be caught and I believe I will not be caught. Good luck, try and catch me.
"Try to catch me" means I think you might have some chance.
Yeah like if a kid runs off and says “try to catch me!” It’s a “c’mon and play!” But “try and catch me” is a challenge, a dare, a taunt even.