The logic does indeed apply, invalidating the argument by demonstrating that it proves too much. Well done! (and I mean that sincerely, not sarcastically)

However, your subs were kicked out with cause; if not from Reddit then definitely from Saidit – which is unlike Jews being kicked out of countries without cause. So, by making the argument more specific, it is narrow enough to make the point.

I look forward to your rebuttal.