Logging Hours JAA/FAA

[One of these days]

Hi all,
I've got a JAA PPL(H) and I'm just wondering if I go out to the states in the summer to fly, will all the hours I do, with / and without an instructor be valid towards a JAA CPL(H) in the future.

I can't see why not, but we all know how over the top the rules can be sometimes, and I just wanted to check.

Thanks for your time and help,

OOTD's