Yes I agree that using different mouthpieces challenges the embouchure. I’ve got 4 mouthpiece for my alto ( SML gold plated, a Meyer, an S80 and a Morgan however only 2 for my soprano with a 4C Yamaha in the mail. I’ve got an S80D and a warburton. The warburton is the only mouthpieces I’m not fond of and my favourite, by far, is my Selmer S80. I’ve got my eyes on a new pretty one but no time soon. Getting a microphone has to take priority so I can share my music.For Soprano, I have 4 mouthpieces at the time of writing: Yamaha 4CM (1.25mm), Yamaha 5CM (1.30mm), Selmer Concept (1.07mm), Vandoren V16 S6 (1.58mm). I almost always play the smallest tip, Selmer Concept.
I have used multiple mouthpieces in a deliberate strategy to teach myself about the effect of embouchure changes on my tone.
I have found it useful to practice occasionally on the S6 wider tip to help improve my tone colour on the Concept but I've found intonation more of a challenge, where as the Concept tends to be locked-in in-tune below the palm keys. I've also practiced occasionally on the 4CM as a comparison with the Selmer Concept. The 4CM tends to be thinner in the second octave but using embouchure improvements from practicing on the S6 I feel I have been able to open up the 4CM in the second octave. That combination in turn has helped me get better tone throughout the range on the Selmer Concept.
Edit: Yamaha 5CM in the mail at time of writing. Yamaha 6CM may be in the mail by the time you read this.
Speaking of which. I haven’t come across any of your stuff yet. Are you that shy or just don’t wish to share? Have you ever posted any of your music on this site?