Apologies if this is a bit long, but I think some points are important...and see WARNING below...
Background: We have an all-electric Tuscany with an induction cooktop.
1: As others have noted, AquaHot should be heating both hot water and living space, so furnace should not be an issue.
2: RV induction cooktops are generally 2-burner, 1800amp units. They must be on their own dedicated 15amp circuit. Be sure you have/add this circuit. Also be sure your electrical system can handle this load.
3: Because of (2), the burners must SHARE the 15amp power. My cooktop does this by switching power from one burner to the other, if needed. Thus, if using both burners, heating may be limited. Not good if trying to boil up a big pot of spaghetti, but otherwise probably okay.
4: Induction cooktops require ferromagnetic cooking vessles (read: iron or steel). Check with a magnet. No more tossing Corning Ware onto the stove, but that can still go in the microwave.
5: As others have mentioned, the cooktop has a "pan present" sensor and will turn itself off (quickly!) if it senses a pan-not-present situation. So, if you like to pick up the pan to stir your eggs of flip your pancakes, remember to turn your burner back on when you set your pan down.
6: Here's the WARNING!!! Our cooktop has flat surface "touch" controls. IT DOES NOT HAVE A CONTROL LOCKOUT like our home (conventional) cooktop to disable the touch controls. This bit us in the donkey, potentially big time... We put a meal in the Crock Pot and started it cooking (plugged in CP, not using burner). However, we did use the cooktop as extended counter space. Yes, the additional flat space is indeed handy at times. All is well, so far...
Then, at some point, one of us must have unknowingly touched/brushed the power touchpad for the burner the CP was setting on. Since the CP had a steel outer shell, the cooktop detected a "pan present" and turned on. OOPS! Of course, we did not notice until a few minutes later when we smelled a VERY unpleasant burning smell. This was quickly traced to the CP having burned paint on/near its bottom and 2 of ts 3 little rubber feet being melted. We iquickly shut off the stove vented the space, and (ultimately) trashed the CP as we didn't think we could EVER get rid of that residual smell.
I hate to think what could have happened if we had left for an outing!
I came to the immediate conclusion that this was a VERY SIGNIFICANT SAFETY HAZARD. I looked for a replacement cooktop with a lockout and found none. So...
I installed my own solution: I added a standard on/off electrical switch at about eye level near the stove. It's wired onto the plug, so the cooktop is now plugged into a switched plug. In our case, this is essentially on a side wall just in front of the microwave...convenient but unlikely to be accidentally turned on. This allows us to simply deactivate the stove and all its controls when not in use.
So... If you're planning to sway to an induction cooktop, best to you. I hope it works well for you. BUT, I VERY STRONGLY RECOMMEND YOU INSTALL A MANUAL ON/OFF SWITCH AS A SAFETY MEASURE.