I recently started learning some ayat with a brother and I used to memorize them with tajweed (I don't know every rule but at least the basic ones) but now he says that I shouldn't memorize with tajweed. He says that I should memorize the plain Ayat without tajweed so that I'll be able to learn real tajweed later and then apply it to ayat I memorized in former times.

Is this thinking correct?