I have butane and induction. I prefer gas, I don't really like cooking with induction, specially if I have several pots on the stove, sometimes it can be confusing which one you are switching off or turning way up, since the controls aren't that good with touch and you have no visual clues other than the display, with gas I see how big the fire is. I have never cooked with propane so I don't know about the smell. A gas stove will also outlast an induction one and they are cheaper. Other than the feedback you get from a gas stove, they all cook food. Induction is noisy at full power. The pans also tend to bow a lot with induction, they will not be flat at the center. https://files.catbox.moe/4e2533.jpg if you go induction, pick one with controls like this one, obviously not overpriced smeg crap.
You need all new cookware to use it, however, as it requires magnetism to do the heating. I highly recommend it. It’s fast, too.
For my wife we use induction now but I would be lying if I say I don't miss the charred smell of good old fire