The answer, quite frankly, is no. They do not. Particularly when you're used to larger mouthpieces, switching to a small one can (at least in the short term)
Mouthpiece Spotlight: Kelly Lexan Plastic 3C Trumpet Mouthpiece
THE WORLD'S BEST TRUMPET MOUTHPIECE (**X-PIECE**)
ACB Mouthpiece Demo: 8 Mouthpiece Comparison (come help me find a better match for my playing)!
Our BULLET trumpet mouthpiece booster Model!
Using LIPSTICK to choose a BETTER mouthpiece?
The 7 C's - Seven 7C Trumpet Mouthpieces
Lotus vs Monette, Oh Boy! - Lotus Mouthpiece Comparison to Monette Resonance Mouthpiece
Vincent Bach Mouthpieces (9A, 6B, 11/2B, 5V For $150 And Getzen 7C (free With Other 4) R/trumpet
Bach Gold MegaTone 1 1/2C Trumpet Mouthpiece 1.5 C Review by Kurt Thompson
Harrelson 5MM Modular Mouthpiece Review - Part 2
OZWINDS - How To Choose a Trumpet Mouthpiece
Plastic vs Metal Trumpet mouthpiece - Is there any difference in sound?
How to Choose YOUR Ideal Mouthpiece! Trumpet Demystified Episode 5
Product Review: KGU Brass Trumpet Mouthpiece Booster