In my world, we are creatures of habit. I am convinced that the „where“ is secondary, what we need is „stable“. This gives us a reliable target for development.
Recently, I have been spending a lot of time on the natural trumpet. The mouthpiece there is huge(19.5mm) and the proportion of upper to lower lip far different than with my „modern“ trumpets. This seems to be insignificant for playing. We just need a very stable base in everything that we do.
Generally, embouchure questions only come up when something is not working. There seems to be the blind assumption that we change one thing and are cured. This has NEVER worked. In my teaching, body use and breathing come first, then a relaxed exhale into the note. We build stability over time by strengthening the foundation and not moving too fast to get an octave more in 4 weeks before an audition. The attitude about preparation is the biggest reason that we get into trouble. We need to play things out of our scope because we did not improve the scope when we should have.
Generally, a good program with lipslurs can improve the embouchure by evolution instead of cold turkey revolution.