(Sorry... probably not what you're asking for.)
I think it's mostly going to boil down (heh) to what you like. I like gas. I like the way it cooks. Even more: I like that you can get a very very simple stove for almost nothing and it will last you 50+ years. My experience with most on board circuitry put into appliances has been abysmal. Give me a stove that works forever. And give me an oven with a huge thermal mass.
I don't like circuitry that much either, but the honest truth is a gas stove will have a computer to control at least the ignitors and probably any ultra low simmer burners. But I do take your point that the few widgets the better.
If we decide to go with induction we are going to find an appliance center that will let you test/demo them that is somewhat nearby to make sure we like it. We have a ~$50 dollar single burner plug induction we bought for testing, but it has an annoying buzz, even with used with cast iron; if larger quality units do that with quality cookware it would be a deal-breaker. But, it works better than a basic electric stove.
I'm just looking to see if there is any real feedback on induction as the 3rd option.
As per the chef in the house we are going to get a good stove . . . its just that a good stove by the chef's definition (at least in gas) would seem to need significant hood exhaust (~900-1000 CFM using 1 CFM for ever 100 btus if all burners were run on full, not that it is likely to happen) . . . I know fancy-pants, but between the meals I get out of it and the peace in the house it is worth keeping the chef happy . . .which also triggers a code requirement for makeup air (needed to prevent back drafting of the boiler and wood stove) adding complexity . . . not to mention the energy penalty in the winter of exhausting the heat and drawing in New England winter air (either through makeup ducting on air leakage) whereas a seemingly good induction cooktop would need more on the order of 400-500 CFM (according to materials provided by certain manufactures) which, at the lower end would be right at the threshold for needing make up air and would exhaust less paid for air in the winter.
First of all: any oven should be electric, not gas. Non-negotiable, IMO.
For cooktop, induction is better than gas is better than electric, IMO. Induction has a learning curve (it heats faster and invisibly, so you need to learn the response time and learn to use "6" instead "about that much gas" for eggs or whatever). If you have to install a gas line to the house, it's induction all the way.
Downside of induction is that it doesn't work with all pans and is more expensive to buy. (And it doesn't work in a power outage, but that's irrelevant for me.)
We plan on separating the oven from the cooktop as part of a baking station area and will likely be sticking with electric (with this plan the exhaust hood will not be as close to the oven as I would like and I really don't want combustion by product floating around); ever gas oven we have had experience with just did not want to heat as evenly or keep temperature as constant as even the cheap electrics. Plus I have never been able to adjust to the differences is humidity between a gas oven and an electric oven.
It sounds like you have experience with induction; what fuel source did you transition from? Can you elaborate on the learning curve? For me transitioning from the slow to heat, slower to respond electric coil will be a learning curve no matter the heating source. The chef in the house has lots of experience with gas and I am betting her learning curve will be a little shallower.
We have propane in the house and we have a disused heater about 12 feet from the stove that will be disconnected, so it is simply a matter of adding a stub-out (and there are a couple I would like to add) to install a gas cook/rangetop.
As for the cannot cook in a power outage, I am also not worried. We have a gas grill with a side burner outside and a camping stove; long term we might add a little more/upgrade cooking outside so that in the summer we do not heat up the house (we do not have AC). Plus we are on a well for water and rely on electricity to control the boiler and other components of the heating system so a power failure that lasted long enough to really be a problem for cooking would also be a problem for flushing toilets and showering. Where we are on the grid ensure that we should not be without power for more than a few hours (unless it is the line to the house that is damaged) and if it became a problem we are already wire for a generator with a manual transfer switch, it would not be hard to get a portable propane generator to connect to the house supply via a quick disconnect.
As for cookware, we have a nice looking, but cheap and not all that functional set of pots and pans (I would not be sorry if they were incompatible), a lovely set of enamel and regular cast iron (which I understand are brilliant for induction), and a one or two that might not be compatible (but nothing fancy or expensive and if they were a deal breaker I understand you can get induction "slugs" to place under them).
First of all: any oven should be electric, not gas. Non-negotiable, IMO.
I would have said the same thing... before I had a really nice gas oven. We have both. We have a gas stove and an electric wall oven. We store stuff in the electric oven. I've been considering replacing it with gas.
What kind of "really nice gas oven" do you have?