Hello,
Please, for the love of God, don’t mention Integrated and Modular in the same sentence. It’s not worth the inevitable fight that will follow.
Any hour you fly in your training will all stand to you, no matter which country it is. There is no problem in you completing your PPL in Cabair and heading to the US for your hours building. Providing the organisation is approved and the aircraft is certified (goes without saying).
Happy flying!