Thanks for the response, @wdccruise. What you say makes sense.

Perfect repeatability may be dependent on line voltage. As it varies around 240 Vac due to household, neighborhood, and even regional power usage, unless the electronics have a very good regulation circuit the power to the induction coils at a given setting will slightly vary. Pan heating varies as the square of the coil voltage, so a 1% rise in coil voltage will lead to a 2% rise in power to the pan. Typical voltage variation I see at my house is +/- 2%, so a +/- 4% change in time to boil a repeatable amount of water might be observed at my household voltage extremes. I don't measure water for boiling eggs with accurate repeatability, so the effect is mostly qualitative relative to when my walkaway-disaster-avoiding timer alarms vs. achieving a given state of boiling.

"Perfect repeatability may be dependent on line voltage."

Oh, come on. She just wants to know whether it's easy to set the power level of an induction cooktop element to the same value it had previously. Yes.

I'm not finding the long threads from a couple of years ago on the Cafe induction ranges where the OP's question was addressed. Hopefully, we will hear from current owners of the ranges.

In the meantime, my recollection is that the Cafe ranges' knob controls are more or less infinitely variable and without digital read outs. (IIRC, the Viking induction ranges are the other residential induction ranges with seemingly infinitely variable burner controls and also lack digital readouts.)

On the one floor-model Cafe induction range that I saw in person a year or two ago, the knobs had no perceptible detents. At least, none that I could feel when I twisted the knobs on a stove that was not connected to power.. So, no more "tactile feel" than with gas ranges and old-style electric ranges with full-turn knobs.

There is an optional accessory called a "Precision Cooking Probe" which is an in-pot thermo probe that communicates via Bluetooth with the range to try to maintain +/- 1° in the ingredients in one pan over one burner. (Can't recall if that was one burner at a time or that only 1 burner could be designated to work wth a "precision cooking probe." Searching through a current manual/guide for a Cafe range might clear that up.) The probe only works for temps between 85°F and 200°F, however. So, no help with deep-frying or sugar-melting/candymaking tasks.

ETA -- just found a Cafe manual which indicates that the Cafe ranges' burners are also able to communicate with the Hestan "Cue" pans, for whatever that ability might be worth to you.

"my recollection is that the Cafe ranges' knob controls are more or less infinitely variable and without digital read outs."

This would seem to me a major shortcoming (for Café or any induction). One of the advantages to induction is consistent repeatability - being able to set it to 62% and getting 62% each and every time.

Cue does hold a lot of promise for any technique where a consistent temp for the cooking surface (vs temp for the food or amount of heat applied) is needed. It essentially gives you a similar capability to a thermostatic griddle but with more limited power/heat capability.

Human factors engineering gets to put an oar in. Knob controls with many detents and no digital readout need to be large enough for the fixed position markings to be distinguished and to some degree labeled. Internally, many physical detents can mean significant diameter for the device. Long before transistors, there were precision controls of this type. With a 2.5-inch knob, 3-inch diameter internal body, layered silver wipers sweeping across the multitude of internal contacts, they wouldn't fit an induction cooktop. My Cooktek induction wok hob has twenty power settings and a smooth no-detent control, but it includes a digital display showing the setting values [1:20].

(As an aside, this scheme makes wok temperature control by 'flame' adjustment relatively easy without having to move the wok. Just twitch the control one way or the other as needed.)