Is it influenced by her view? Of course.
Does it perpetuate it? Surely that depends on how readers react to it. We are free to interpret works as we like.
My own view on this is complex.
The problems JK Rowling outlines are clearly real, but of course so are the problems of trans people in gaining acceptance in society. Both TERFs and Trans people are groups that face gendered violence.
If the mere writing of a character that holds a view ‘perpetuates it’, then don’t we need to burn all books written before the 1990s?
You can sanction Rowling, don't buy her books. You can criticize Rowling, you can publish books hating on Rowling, those are all great ways in a free society to show opposition. The problem is that activists want to destroy Rowling, erase her from public space, and deny others the right to buy and read her books. Rowling has enough power and stature where she isn't really threatened, but smaller authors are being "disappeared".
That is to say, I think there are actual true believers when it comes to free speech.
Edit: I just reread your comment and there's a "most" I missed the first time. Leaving this comment up, but safe to say I agree.