My whirlpool gold did a wonderful job with the Presto canner. I had to get it correctly lined up on the burner or it would cycle off and on and take forever to heat. I'd put in in place and turn the burner on high and then watch. the base is formed so just the base hits the heating element, and I could just see the "red" and if it was going on and off, I'd move the pot slightly to get it better centered, and with a few trys, I'd have it so it would stay on.
Then I'd get it heated and vented and up to pressure, Then I could turn it down to about 1.5 (very low) and it kept pressure perfectly.
The instructions for that stove said it was fine to use for canning provided the bottom was the same size as the element (and the presto accomplishes this with it's strange bottom shape). It does say that if you are doing multiple batches, to let the stove cool down between them.
I have induction in the house now, and use a high power hot plate, and also have a coil cooktop for canning - but in truth that ceramic topped electric stove worked the best for maintaining even heat at a low temp - once I had the pot adjusted correctly. Over all the coil is best as it is the least fussy and I can use both my canners on it at the same time.
I've had glass topped stoves for years and years, and the only time I have problems with rapid cycling is when I had a pan that didn't have a super flat and heavy bottom. Seems with even a small gap between the burner and pan bottom, it just does not work well. I took to checking my pans with a straight edge and found that any pan that didn't heat all that well wasn't as flat as I thought.