Didn’t someone just get stabbed 10 times in a magic tournament? Must have been playing blue.
Edit: Man Stabbed Seven Times During Magic: The Gathering Game
Anyway, so there are 4 main archetypes of decks in hearthstone. Aggro, midrange, control and combo. Of these, I think it’s safe to say that aggro priest will never be a thing.
The other thing to note about priest is it’s class identity. Getting value out of the hero power is solely board dependent, meaning that you basically want to play stat sticks so that you have stuff to heal. Nobody enjoyed fighting a Deathlord with Valen’s Chosen on it. There are also lots of health buffing cards in the classic set, PW shield, Divine Spirit, Temple Enforcer, etc.
The other thing about Priest is it’s removal. No other class has such good removal options even in its classic set. Pain, Death, Holy Nova, Auchenai Circle, Mind Control, Shadow Cabal Priest. Generally, if there’s a control deck in the game that can repeatedly wipe your board, it’s priest.
Divine spirit and inner spirit (as well as health buffing), and mind blast being in classic also tends to allow some combo decks, but they tend to be janky given priests lack of good card draw and lack of stall mechanics.
Some of these decks have been tier 2, and possibly close to tier 1. Arguably, dragon priest was tier 1 or very close to it before BRM rotated out, and that was a midrange priest deck. It was basically the most boring deck ever. You just played your overstatted minions on curve, trade and heal, go. I did enjoy playing this, but it was rather mindless. If it became tier 1 guaranteed people would hate priest. It would be like playing against pirate warrior now, except games take forever to lose.
Some control decks have also been high tier 2. They have generally been the most frustrating decks to play against, concentrating on basically removing or stealing everything you play. I remember I used to have a deck that had lighbombs, excavated evils, holy novas, all the single target removal, cabals, entombs and mind controls. I think it was called Chinese thief priest or something like that at the time. Worst deck to play against, you never wanted to play minions at all. I mean, I was having fun but I’m not sure about the other guy. 
Combo priest in the form of silence priest was also kind of high tier 2 early in ungoro. Wasn’t good enough in the end, though. Neither was djinn of zephyrs combo priest, or the storm wind knight charging priest before that - without ice block or armor, or cheap spells to cycle with Gadgetzan Auctioneer, priest just can’t assemble the combo fast enough, or survive long enough. Blizzard would have to print some really bullshit cards to make combo priest consistent enough to hit tier 1.
So that’s why I don’t think I’d like to see a tier 1 priest deck. If we had to have one, I’d like to have midrange stat stick priest back. I kind of enjoyed that, but not many people did.