"Interaction force" is clear. "Inertial force" for something appearing only in NON-inertial reference frames sounds like an oxymoron. My favourite choice is "pseudoforce".
Unfortunately, quite often in Physics, words have a different meaning than in ordinary language. This is an additional problem for learners. The idea that fictitious forces are a kinda of illusion is quite widespread. At the core of the problem lies the often-overlooked issue of defining force...