Well those aren't your basic trainers but if your instructer is willing with those its all good(I asume one of them is his anyway).
Of course there is no rule saying you have to learn on a trainer, many learn on what is considered a "second plane'' which is basically what your flying now. The end result is the same! FUN Just don't forget to teach someone yourself in a year or two!

Duh, I almost forgot, WELCOME TO THE HOBBY!