If Haye froze like a AFraid-Eeee cat against Wlad, he would definitely be like that against Iron Mike. Mike KO inside 3 rounds. Not even Haye ever saw himself as an elite hw. He picked the weakest belt holder in Valuev, beat him, and then avoided all elite opposition. Until he faced Wlad and froze and threw nothing dropping a lopsided UD.
Any pre-2000 version of Tyson destroys any version of Haye. Heck, I'd give the washed up version from the Lewis fight a puncher's chance.
Haye would be competitive with the post Douglas version. The pre Douglas version he has a punchers chance. If he was to stand and trade with Tyson the likelihood is he'd get knocked out early, but Haye wouldn't do that - he'd pot shot and run.