I don't think it would avoid anything. It would just reinforce the belief that the original term was nothing but a slur against masculinity as a whole, and then the new term would be attacked as well.
After all, it would take far less effort to simply accept that the "technical" definition of "toxic masculinity" exists and is used within feminist critique, and recognize that distinction, than it would to create an entirely new term and have it bubble up through culture. That almost no one seems willing to even assume that modicum of good faith suggests it doesn't matter what terms you use, the premise will be rejected anyway.