I think the reason the Domestic cats are gone is the same reason the Cats that try to S**T in my backyard are endangered -> My Dogs kills them, She and He kills at least 1-2 Cats a Month back there and that is just IN MY BACKYARD <- Cats would not survive worth a damn because they are Food with very few hiding spots available that their predators can not also get to them, hell I can think of no less then 5 different Predators that reside just around where I live that eat cats and I do mean eat and not WOULD EAT at the end of the world because they get munched on quite often around here.
Just so you know my Dogs are a Black Lab/Pit Bull mix so she is faster the any Domestic Cat and with the Lab instincts and Pit Bull tenacity old Puddy does not stand a chance of getting away and a Pit Bull he can not jump my back yard fence but hes mean as hell ! they are Zoi and Tyr (do a little research to find out why its so damn funny that these two uses cats a chewing toys).
I have watched her jump over my 7 Foot fence into my Neighbors yard kill the offending puddy and jump back over to our yard with the dead cat to play with her food !
I have also seen cats trying to get away not make it over my Fence and after they hit the fence fall back down into my Dogs mouths.
Just saying I think only the Big Cats would survive short term and only as long as it takes Dogs to return to their Pack behavior and then it would turn out bad for all Cats, a properly trained pack of Dogs can drop anything ! and a Big Cat is just dinner for everyone.