There is not reason whatsoever to hyphenate "writing style".
In this example I used the hyphen for comedic effect. But this is a actual sentence I wrote in an older post:
> What's the competition in the gaming-capable pre-built mini-PC category
I think that's probably-satire.
In this example I used the hyphen for comedic effect. But this is a actual sentence I wrote in an older post:
> What's the competition in the gaming-capable pre-built mini-PC category