It sounds like countless other games, and I can't imagine it being mistaken for a beverage.
Monsters are an idea going back in stories for millennia before the beverage brand existed.
Board games, and then video games, were inspired by these stories of monsters, to make interactive experiences around the ideas.
And the respective logos I just saw don't really look similar to my eye, other than both "horror-y/monster-y", but in different ways.
If the truth of situation turns out to be as stupid as is alleged, and Internet pitchforks are required, be aware that the Monster "M" logo does look much like a pitchfork (but again, the generic pitchfork came first, and is a widely used idea)...