My girls would not eat from any other bottle but the Avent bottles the big round ones or the Dr browns bottles. If I gave them any other bottle they wouldn't suck it just let it dribble out they mouth. Now one of my girls will only use the Avent bottle and the other two only want the Dr browns bottle. They definitely know the difference between the bottles plus them El cheapo bottles give them gas.
We always used the cheap bottles/nipples. Babies don't know any better... what you give them is what they'll eat from. Those dr. Brown have the same nipple shape as the cheap bottles... they should work.
My son loved those and the Avent ones! And the parents choice. He had a bunch of Dr. Browns bottles.... Still got them actually. Those and Avent are pretty expensive.