Does the brand make a difference?

I am currently taking Breo Ellipta and Breo Incruse. I still have a lot of heavy breathing with the medicine and asked my doctor if I could try something different. I've tried Anoro Ellipta and it did not work well for me. My doctor believes that since they are all the same medicines, that I don't need to change. My concern is that Anoro Ellipta is a combination of the same meds that's in Breo Ellipta and Breo Incruse and did not work as well as the latter. I wanted to try Symbicort or something else. Does anyone find that although there are the sames meds that we need to take that brand names make a difference? If so, is it for the better?

I'm doing pretty good, other than when I lay down and the heavy breathing that is very often.

Thanks in advance for your response.