How could I reliably tell if I'm behind a CGNAT or not? If I poll one of those "what is my IP" websites, and the IP my router has assigned from the wan matches the what is my IP then I'm fine, I'm not behind one, right?
And if you can access the services using a dydns kind of thing, then you're safe, you're not behind a CGNAT as well. Only catch where you could be wrong is if you try to access from the same CGNAT network (is this how you call it?) But since the dydns is probably swing your wide internet IP that should still not work?