In the real world the type of licence you have is an irrelevance. I have met and flown with some ATPL's who I consider to be a danger to all around them and some PPL's who have my highest respect.
The key is to try and get everyone who teaches up to a certain standard.
One thing you'll come to realise in the future is how little you actually know about being a PPL, and since that is what most FI's teach, what on earth does an integrated fATPL holder know about it?
There is an awful lot more to teaching people to fly than just stick and rudder skills and I've not seen a single course that could ever replace experience for giving you the knowledge you'll need, and that is something an experienced PPL wil always have over someone straight from school even if they do have an almighty CPL.......