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Almost none of my rental flats had real extractor fans. The whole house stinks of food. Cook a steak and fire alarms are going off upstairs as well as down. I fucking hated it with a passion.
My folks have an overhead plus a wall one. Admittedly it's a small non-open plan kitchen. But it's great, and something I'd definitely mirror when the the time comes.
I would always go for as much extraction as reasonably possible.
I never had an extractor fan in my old flat, no issues and no banging heads.