That’s pretty much it, your training covers where you were trained. I saw a DM from a land locked state with 500 lake dives jump in in Cayman and head down current. He had never done an ocean dive before and the dive boat had to pull anchor and go rescue him.
I had a DM yell at me, on my first Caribbean dive trip back before depth gauges I went to Bonaire, being from NJ if you can look up the wall and still see the surface you can’t be too deep, right? My first clue was the shutter button wouldn’t come back up but I was probably too narced to figure that out :( BTW, that DM was Ebo, if you have been to Bonaire there are a few dives sites with his name.