It seems that the discussion has been turned from "no Spitfire" to "nothing anywhere near as good as the Spitfire ever". There were many efforts investigated to improve the Typhoon, Tempest, Fury with many different engine types and while they progressed they didn't do so very quickly, because they weren't really needed BECAUSE the Spitfire was there. To me the important development was the two stage Merlin which could just as easily have been a two stage Griffon, before that the Spitfire was a defensive fighter.
Maybe the other fighters that were not made weren't made because they didn't meet or exceed the Spitfire in performance so were rightly shelved. You have to go further than the actual plane also, could Boulton Paul mass produce their Spitfire replacement?, the Typhoon Tempest Fury line had serious engine issue's that could not be easily solved, they also had very serious design problems with the aircraft breaking up in flight or loosing their tails in flight, of the cannon armed planes did the cannons and it's ammunition work?. Don't kid yourself, the Hurricane was kept in service for one reason and one reason only and that's because it was easy for Hawker to produce in high numbers, in the perfect world if the Hurri was an effective front line fighter after the BoB had calmed down it could have held the line allowing Supermarine and Rolls Royce to change over to Spitfire III development and production and all the other Spitfire replacements would have been even further behind in performance, I'll even go further in my fantasy and say if we shelve all the other designs and Boulton Paul, Hawker, Westland etc start making Spitfires, they can convert MkII's into MkV's as a stop gap while Supermarine make MkIII's leading to mass production MkVIII's in '42, BP can produce MkXII's and have Rover/Austin whoever making Griffon's with RR Ford staying with the Merlin Britain would have her aircraft/motor company industry making worthwhile aircraft instead of the mostly rubbish they did actually make. From where I sit that allows DH to make the Mozzie, Avro the Lanc, Sunderland flying boats, win win.