JK Rowling’s pen name is a reference to Robert Galbraith Heath, a psychiatrist who experimented with gay conversion therapy in the 60s and 70s using surgically implanted electrodes on gay men’s brains.

Unless thats some conservative dog whistle I don't know about, (and I'm no JKR apologist) your statement directly contradicts her own official answer as to the origin of the name:

Why the name Robert Galbraith?

I chose Robert because it’s one of my favourite men’s names, because Robert F Kennedy
 is my hero and because, mercifully, I hadn’t used it for any of the characters in the
 Potter series or The Casual Vacancy.

Galbraith came about for a slightly odd reason. When I was a child,
 I really wanted to be called ‘Ella Galbraith’, and I’ve no idea why.
 I don’t even know how I knew that the surname existed, because
 I can’t remember ever meeting anyone with it. Be that as it may,
 the name had a fascination for me. I actually considered calling
 myself L A Galbraith for the Strike series, but for fairly obvious 
reasons decided that initials were a bad idea.

Odder still, there was a well-known economist called 
J K Galbraith, something I only remembered by the time it was
 far too late. I was completely paranoid that people might take 
this as a clue and land at my real identity, but thankfully nobody
 was looking that deeply at the author’s name.

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