Jayco wind up stove

I find most of the caravan range hoods to be mainly there for show. Most of them in that era of vans when the manufacturers installed them, they failed to provide a sufficient size of duct. With that lacking of ducting the fans simply stalled and did not blow much air through them, i.e. they simply did not work. I'm not sure if any of these camper trailers were ever fitted with range hoods. People seem to cope with that so I suggest you should not worry that your proposed Hawk does not have a range hood.

Agree, personally I would not cook anything oily or greasy inside where canvas is concerned.

Even outside I'm reluctant to use the outside kitchen under the awning for instance for the same reason, I know a few that have purchased portable gas stoves and they use them for cooking greasy items away from the van.