This may be a silly question. I am wondering if a trumpet mouthpiece need to be selected based on the type of trumpet it is used on. I am not talking about trumpets of different pitches (like Bb, C, D, e-flat etc.). I am talking about regular b-flat trumpets.
I play a Bach 5B mouthpiece on a 180ML Bach Strad (Model 37) and with this combination I get pretty much the sound quality that I am after (warm and soft sound not to brilliant). I have 2 other b-flat trumpets. One is a "Silvertone made in France" (I have no idea of the brand or maker). With this trumpet the 5B gives me almost the same sound as the Bach Strad. My third b-flat trumpet is a vintage "American Standard" trumpet from 1935. I had this trumpet "reconditioned" by a highly qualified brass instrument technician and it is in very good conditions. However, the Bach 5B just does not seem to work on this trumpet. I get relatively good results with a Bach 1/4C or with a standard Bach 7C on this vintage trumpet.
Thus my question is: How does the type of trumpet affect the type of mouthpiece that gives the best result. Does the bore of the instrument determine what type of mouthpiece should be used? Are there any other trumpet parameters (specifications) that should be considered in selecting a mouthpiece?