Diferent coaches have diferent methods of teaching and diferent fighters have diferent vocations and diferent paths of evolution.
Imo of course you will learn as much techniques from whatever martial art as possible, specifically and specifically oriented to free fighting. You have to learn the basics of each martial art but youll also have learn to adapt it to the threat of other martial arts.
Example ... you will learn boxing´s fundamentals, but you will have to adapt your boxing to the threat of kicks and takedowns.
I hope im explaining myselfe in a way that you can understand and i hope this helps.
Anyways, dont think 2 much about it, if you want it just go for it.
Good luck in training