Because our Beaver was originally a very expensive coach (we bought it when it was 10 years old), it came with a very high-end gas cooktop, a residential unit made by a foreign company marketed as Gaggenau. It literally costs >$1k and has 120V electric ignition. It is a very fine, 2-burner cooktop and now it sits totally unused with the propane tank valved off.
The reason is that we do >99% of our "stovetop" cooking with a countertop induction burner. Because I'm a high-tech geek, we bought our first induction burner 8 years ago when we began full-timing. We got so "attached" to it that, when it broke after nearly constant use, we were able to buy an even more capable one for less money!!
We currently have this unit:
https://smile.amazon.com/gp/product/B01FLR0ET8/ref=oh_aui_search_detailpage?ie=UTF8&psc=1
There are several reasons we selected this particular one; this same company does make less expensive models. However, this one is a full 1800 watts and has 20 separate power levels all the way down to 10% of full power. Lots of induction burners can't regulate to less than ~30-40% of full power which makes it difficult to simmer foods well. This one has such a low power level capability that I can easily melt butter with it.
As for cookware, we own some stainless steel pots that pass the "magnet test". These days there are lots of them available. And cast iron will also work.
The 1800 watts of our induction burner provides more power to the pot than does the larger burner on our gas cooktop AND it doesn't also heat up the room. So there is no longer any benefit to using gas other than to get a second burner and we have gotten quite adept at keeping things warm in the convection oven, for example, so we can juggle things on the single burner. We could always buy a second one, if we wanted, at lower cost than doing a remodeling and removing the gas cooktop.
Furthermore, if you consider a built-in induction burner you will be forced to use one that runs on 120V. There are only a few 2-burner models of those, the leading ones being those marketed by True Induction, which are used in number of new RVs. The problem I have with those units is that they "share" the power between both burners and NEITHER has the power of my 1800 watt countertop unit. So, for example, if you want to boil water for pasta using one of the burners, the other has virtually no power "left over" to keep your sauce warm. IMHO I'd rather have two counterop 1800 watts ones plugged into separate circuits so I can cook without limitations.
That's why, so far, we have left our gas cooktop in place even though it hasn't been used in more than a year. If someone has a better suggestion, please let me know!
Joel (AKA docj)