Definitely on both the breed and the individual personality of the cat. My Mum has a rescue Ragdoll who has cotton wool where his brain should be and couldn’t possibly be trusted to roam, so he has an enclosed garden. Not to mention he is absolutely beautiful, very friendly and would definitely be stolen!
My friend has a crotchety old Persian who walks the streets like he owns them. Everyone knows who he is and where he lives, he’s a local celebrity.
There was a lovely Bengal in my village who covered a lot of ground and was incredibly street savvy, more so than most cats, but he still got knocked over and killed last year 
Another friend has several BSHs who are indoor/outdoor and come home every night with no exceptions.
I have a rescue who looks Siamese (she was found as part of an abandoned litter, so nobody knows), she’s cross-eyed with terrible nystagmus and the vet isn’t sure if her vision is affected, plus she has pica so she is an indoor cat, with supervised access to our catproof garden as even though she can’t get out of the angled fence, she has tried in the past and hurt herself in the process. She would also try to eat the wooden fence posts if she wasn’t supervised!