I'm not really sure what info is contained in a computer's IP address. Obviously it's the registered owner of the computer, so with a burner laptop off craiglist paid for in cash you'd be good. But if your IP address is revealed, is the wifi connection you are using at the time also revealed? Because in that case, your home wifi would give you away.
Thanks for your help!
Use tor and/or vpn. Your IP address shouldn't be revealed either way.