From a real life perspective:
We just came back from a two months trip to Canada and Alaska. We've used the induction cooktop all the time. Same with the electric kettle. We also used the inverter to charge our electric toothbrush and a few other things that aren't 12V or USB capable. We often sat in the truck in the evening, getting photos off the cameras into the laptop and used the electrical system to charge the laptop and cameras.
Overall, it has been a HUGE improvement to the propane/ISO-Butane setup we had before. I can't even describe how big the improvement is, it's been so good.
The thing is: we don't go "camping" for the rustic adventure feel. We travel in a truck with a canopy camper. That's quite a difference. When we were "camping", we didn't care too much about the difficulties with propane or gas canisters, or liquid white gas, we just used them. But when traveling, every inconvenience becomes a potential for conflict. We need to make every task easy if it's happening regularly. The truck camper by itself is a massive inconvenience, adding other things to that is a recipe for disaster.
For us, it made the trip much easier.
We use 200Ah battery capacity and a Redarc 2000W inverter and never got under 60% during the whole trip.