We've had a Miele induction since 2016. It has a few issues covered under warranty in the first 9 months and then since then, we've had no issues.
It has 9 temps (You can enable half temps but that seems silly) plus Boost and Boost Plus.
For temps above about 4 or 5 (I'd need to specifically check) it seems to be able to vary the power without cycling. When you drop down to the very low temps, from 1-3/4 it cycles the power on and off.
I cook a lot in bulk, I turn 10 pounds of hamburger into lasagna or bolognaise at a time, so I use a 5 gallon stockpot to simmer a lot of those dishes. My biggest pot fits perfectly on the 12" main element. I also make my own stocks, so I fill that pot with 3.5 gals of water, plus 6lbs of chicken carcases, go for double boost and the whole thing can be boiling in about 10-15 mins from totally cold. If I'm in a hurry and want to boil 1gal of water for pasta, I can use the bridge burner at the back and put 7.2kw of power into the pot, within 3-5 minutes, I can have a volcano of boiling water if I dont keep an eye on it.
At the other end of the scale, you can melt chocolate on temp 1 without a water bath, and I have no issues with simmering. For a stew or soup, depending on consistency, temp 3-4 will keep it steaming with occasional bubbles.
The key things to be aware of.
1) To use all the power from a burner, the pot size needs to be matched. if I put a pan with a 6-8" base on the 12" burner, it takes for ever to come up to heat. If I use a 10-12" pan I get the full 3.6kw.
2) Cheap multilayer based cookware will vibrate, and if if it has aluminum in the layers and you use the dishwasher, you will end up with aluminum oxide vibrating out of the base of the pans onto the stove. You may have to shop around to find what works for you
3) With the Miele anyway, it shifts max power levels around, depending on how many burners you have on, how high the power levels are, and which burners are enabled. Mine has 4 burners, that operate in two pairs. You can run both in each pair at setting 9, but if you run one on boost, the other in the pair will top out at 6-7 until you lower the power settings on the other burner. The other pair can operate in the same way, you just have to be aware.
4) Likewise, if your trying to boil 9 gal of water on two burners, the electronics will generate a lot of heat and you'll hear the cooling fans ramp up. I've only really ever noticed this when I've been on an extended cooking bend. IE, I've made 5 gal of bolognaise, 60 portions of lasagna and 4gal of soup in a morning.
5) Cleaning is delightful, especially if your coming from a ceramic cooktop. I use a sponge with soapy water and 99% of the time, that'll remove anything thats cooked on. I dont think I've ever had to use the scraper yet.
6) At high power levels, you must watch whats happening. A pot of water almost at the boil can become a volcano of water gushing 6" above the pan if you let 7.2Kw of power into a pan without watching. On mine the controls are at the front so you can turn it down without getting scalded, but the amount of water that explodes everywhere has to be seen to be believed.
7) Frying works best with heavy pans, the trick is to find the right one. We initially had frypans with ridges embossed into the base, they didnt get hot or stay hot when trying to seal steak, or large quantities of hamburger. I ended up getting a Lecruset Enable 12" and now there is never an issue with heating. Preheat on 8 for 2-5 minutes and then your ready to fry until your hearts content. It did take trial and error to find a pan that worked.
8) Make sure your cabinet has plenty of clearance, Miele don't recommend vents, but there needs to be a certain about of air space in the cabinet. Also dont store anything flammable underneath the cooktop, we have a draw with Cooking utensils, and at times they can be almost too hot to handle, when your really pulling watts.
I hope this helps, I know its long winded, but now I've had induction, I'd never go back to anything else.
Cheers
Nathan