I've never seen a toilet sitting on a bead of grout in my life
On a different forum, a retired professional plumber recommended I place a plaster of paris seam between shims before seating the toilet. Because the shimmed gap was about 1/4 inch, what I actually did was:
1. Place the bowl without seal and outline it with painters tape;
2. Place flat shims (no worry about going out of level if bowl placement not perfect) that extended well under and well outside the toilet, then taped them to the floor (no worry about them shifting).
3. Remove bowl, place seal, and reseat bowl. Tape outline on floor makes accurate bowl placement easy.
4. Use a grout bag to inject plaster of paris under edges of bowl. Smooth it with a finger, then pull up tape to have a perfect, clean line on the floor.
5. After grout hardened, remove the shims and grout those small gaps.
I just finished this project so can't speak to long term performance but I am confident. If the shimmed gap had been much narrower I would worry about getting it completely under the rim of the bowl and placing the grout before replacing the bowl would be safer. This approach takes way too much time to be practical for a professional but for a DIYer who resets a toilet maybe once per decade, or even less often, this seems like an almost foolproof* way to go.
*Recognizing, however, that nothing is foolproof to a sufficiently determined fool.