As far as I know, it will make no difference to the sound.
When I bought my guitar, I didn't even notice it had a strap button until I got it home
Then, I wondered why someone would screw the thing into a perfectly good Brazilian mahogany neck

(ok, the heel specifically)
BUT, it was the luthier who had installed it, so it was structurally sound, and included in the guarantee (in case it came loose or whatever).
Personally, I did not want it, but now I don't really bother anyway.
You can always tie your strap to your headstock if you need to play standing up, but you may prefer the convenience of a strap button.