Yes they will have a motive, they'll be looking to get paid, Can't get paid if there's no offence. Given Cohen Davis specialise in online defamation, harassment, cyberbullying, social media litigation (whatever that is) and judging by their positive reviews, they seem to be good at getting paid.
With the greatest of respect, when it comes to what is and isn't illegal, I think on this occasion, when both the police and a law firm are saying the opposite to you, I'll take the word of two different professional bodies over some random stranger on the internet.
And they say that filming / photographing in public is perfectly legal, until you cross the line into harassment. It's up to the CPS and, ultimately, the courts to decide what does cross that line on a case by case basis.
Do you want licenses, and more restrictions? Because to me it seems the whole point of being able to bring these charges against people who overstep the freedoms we enjoy, is to avoid the need for more restrictions on those who don't overstep. It sounds like you, and others, would prefer more clear cut and better defined restrictions on public filming and photographing in general.
Yeah and Azealia Banks is a massive racist and homophobe herself. Healy should have paid her no mind and kept his mouth shut, like always, but we are all better off just to not care about internet drama. Call me if he actually does commit physical violence.