The original tweet was not an insult to LGBT people in general but to a noisy fringe that is extremely intolerant and are forcing their ideology onto others. At least that's my personal interpretation.

What many people object to, for instance, are things like JK Rowling being cancelled because she dared say that women may not feel safe in toilets with men. This is the sort of things that prompted the original tweet although it is obviously a provocation (being by Laurence Fox, who is notorious in the UK).

Now, in any case, I don't believe that the original tweet or its thousands of retweets received a police response. And by and large the consensus seems to be that no crime has been committed. So the issue in this guy's case is that the police overreacted based on a single complaint, which they could have investigated simply by looking at the tweet...