Tentatively, except we don't know what the new set is going to do to the card pool. Druid seems like it's going to become largely unplayable without force roar, which is about where it was before Strifecro brought so much attention to the combo. Here's my own analysis of the ramifications of losing GvG and Naxx.
Druid - Barely touched. Aside from shades, the stuff they're losing is the same stuff everyone is losing, and Raptor should be a good enough shade substitute.
Hunter - Losing mad scientist will be bad, but otherwise the class isn't losing much.
Mage - Mage is getting absolutely buttfucked. All version of mage are losing mad scientist, tempo is losing portal and flamecannon, value mage is losing duplicate and echo. Freeze mage might still work without scientists, it was viable before Naxx and the format should be slowing down a bit.
Paladin - If anything, Paladin is getting buttfucked harder than mage. People may not remember but paladin was absolute shit tier until GvG came out with minibot, muster, and quartermaster. Secret will probably also be dead without minibot, muster, and avenge, even in a powered-down meta. The only thing my murloc paladin list is losing is healbot and belcher, so I suspect murloc otk will be about the only paladin list seen on the ladder unless the next expansion gives paladin some serious muscle to make up for losing minibot and muster.
Priest - Priest is getting hit hard. On top of the neutral stuff, they'll be losing lightbomb. Can't really tell how they'll be doing until we see the new meta unfold.
Rogue - With its namesake rotating out, oil rogue will be dead, but my Maly Miracle list will only be losing healbots. That may be enough to kill the deck, since rogue needs that healing pretty badly, but we'll see how it shakes out.
Shaman - as someone mentioned, the only thing aggro shaman is losing is crackle. I expect this will be a top tier deck in standard
Warlock - Zoo will be less sticky without the neutrals it's losing, but there will never at any point in Hearthstone be a time when Zoo isn't viable. Darkbomb and Implosion rotating out wrecks the more midrange style warlocks, so I suspect we'll see the return of the more traditional handlock to the ladder.
Warrior - Losing Shieldmaiden and especially Death's Bite fucking sucks. Death's Bite rotating out kills Patron dead imo, but Control warrior should be in a much better spot with so many troublesome neutrals rotating out. Control warrior may not be as ubiquitous as Zoo, since it does have bad matchups that can drive it out of the meta, but it will never be completely gone since so much of the deck is basic/classic.