Since the A320 spoilers are behind CG they always produce a pitch up on deployment regardless of when.
You will see this pitch up on landing, when you pull speed brake and, as above if you pop the spoilers with a lateral input on take-off.
Having said that, I use a small lateral input in crosswinds and have never had a serious problem. If you keep the input to half a white cross width the spoilers don't usually deploy.