I have an LG induction range with knobs, and it's great......I'm on my third (3 homes in the last 7 years, since I got my first induction range), and I've never had any kind of delay. The biggest issue with my latest one is the numbers rubbing off on the knobs after just 2 years.

Following...

I have heard good things about Fisher and Paykel

I have an Electrolux that works great - one touch - apparently a different model than yours. I recently bought a Bosch cooktop at a second home that's a little more like what you describe but no delays. Button to turn it on then select the burner then adjust the heat level. I resisted getting that one because of this kind of control but it was the best option in all other respects. I'm getting used to it but like the E'lux better.

I always read the owners manual before buying an appliance to get a clear understanding of these kind of details.

You need to go shopping at good appliance stores where you have choices to get what oyu need for how you use the appliance . No one can tell you that since everyone has different levels of need . I do not ever want induction but I have had 3 clients who insisted on induction and have now gone back to gas .This a decision only you can make .

Responsive? It sounds like you want a straightforward operation menu.

I cook a lot on my sister’s Wolf induction cooktop. Unlock, turn the burner on, set power level. It works well, no delays, no submenus, everything is right there. As long as a burner is on you can change power levels at will.

Because of my preference for knobs, I have considered the Fulgor Milano rangetop that @Design Girl has in her beautiful kitchen. My guess is that knobs will simplify things for you considerably. What ”other issues” concern you?

We really like our cafe induction. Knobs with no locks, just twist and the temp is immediately reduced/increased. Like by the time my hand is off the knob, the boil-over is down to a simmer. 

We've had the Cafe stove for a couple of years now and I like it. I wanted a stove with knobs. Like GW said, they do what you tell them to do right away and it's straightforward.

I’ve had Bosch Benchmark induction cooktops in two kitchens and been very pleased with both

Wolf is great for a touch control system. Mine doesn't lock automatically (unless it gets cranky because you've left a tool or liquid on the controls). Each burner has its own on/off and heat control button, so it's very quick to hit on and then the heat level you want. Once it's on, you can adjust the heat level with just one button press. That said, my next induction range will be one with knobs. I would like to have the entire cooktop free of controls. And touch controls don't work if you have damp fingers. Something that stymies the male member of the household, who has no use for old-fashioned technology we call "towels."

I have the now-discontinued LG LSE4617ST induction range. The induction elements respond immediately to changes in power level controlled by knobs. There are now four LG induction ranges, three with knobs. Carefully compare the linked spec sheets to decide which features you want. Note that the two more-expensive models have a 0-9 touchpad to set time and temperature which is more convenient than the up/down controls on the other models.

• We tried out as many as possible when we were tooking, and ended up with the Miele induction range. We love the knobs, as well as the rotisserie and moisure plus features. While the functionality of the induction cooktop was a major factor in our decision, the quietness of the oven fans also played a role. We are now looking to replace the 48” gas range in our new house, and hoping to find one that works as well.

We just got a Cafe range w double oven. Love it so far. we are new to induction. i have found it super responsive. can tell right away when I change the setting.

I have a Frigidaire induction cooktop and am very, very happy with its responsiveness and speed. It does not have knobs, but after a little practice, I figured out how to touch the burner controls to go up or down one level. It has 4 burners, with the largest in the center, 2 smaller ones on the left front & rear and one medium on the right front.

We really love our Fisher Paykel. Instant response on the cooktop controls.

I like the zline induction made in USA HAS Knobs and several color choices.

Anyone have one ?

Re: "zline induction made in USA"

The zline website says they are "designed" not "made" here. The fine print explains:

"Our products are assembled in ZLINE owned facilities in China, [emphasis added] with parts sourced from the US, Italy and Germany. All ZLINE appliances are designed in the USA by Founder Andrew Zuro and his team, and shipped from our facilities in Nevada, Ohio, and Tennessee."

While waiting for responses specific to the induction models, there are two very long and very long running threads here about zline range product quality and service issues generally. If you have not already seen them, here are the links:

https://www.houzz.com/discussions/5965175/problems-with-zline-range#n=452 

https://www.houzz.com/discussions/4967444/anyone-have-a-zline-range#n=1056