> as an online discussion grows longer (regardless of topic or scope), the probability of a comparison involving Nazis or Adolf Hitler approaches 1

GP compares gamers to right wing ideologues. QED

Exactly, no comparisons have been made here.

Edit in response to your edit:

> GP compares gamers to right wing ideologues. QED

It really doesn’t, there’s no suggestion that gamers are similar to right wing ideologues.

The comment just points out the fact that a specific group of gamers has decided to borrow Nazi terminology for the name of their group, it does not imply that the gamers and nazis are similar or even somehow comparable.

An exact comparison was made between the use of the terms master race in nazi ideology and the naming of a modern technology movement.

It’s not a comparison, simply an observation that the “modern technology movement” has deliberately chosen to borrow Nazis terminology. I’m not comparing them to the Nazis in any way.

This is an understandable mistake, Godwin’s law is frequently abused.

The man himself has frequently criticised people for abusing his “law” in the way you’re doing now.

Well, I guess it’s up to you how you want to delineate the appropriateness of the terminology, but a less mathematical application is still appropriate.