It would be weird to have python2-pip installed if you don't have python2 installed, pip should be python2-pip by default on most systems.

I... Dunno, are you suggesting that sometimes pip2 is the default and that that somehow mixes 2 and 3 modules? Pip 2 should install into python 2's directory and pip 3 to python 3's. The only times I have had messy python environments is when I mix pipenv, conda and/or pip, and when people install into the main python with specific versioning, use a virtual env for God's sake, that's what npm does.