Yes and no. I personally think the Pershing is slightly above the Tiger in terms of performance (due to high mobility, a great gun in both AI and AT, very fast veterancy gain, and now decent durability for a heavy tank), leaning more towards the Tiger Ace.
It seems to be very powerful at its current timing and performance, and it could probably use a very small adjustment. I personally think it could use a ~5-10% price increase (to 650-700mp and 240-250fu) for a small adjustment to its timing, and it needs to get slightly higher veterancy requirements (it has pretty much medium tank vet requirements atm because it used to be so fragile) now that it has the increased durability, so that it doesn't scale as fast (giving the enemy more time to react).
That way we can make it slightly easier to deal with while keeping the unit itself powerful.
2v2 and above, pre-patch Pershing never had easy time due to fragility. I see the concerns about 1v1s but in current form Pershing doesn't differ much from Tiger, especially with extra damage reduction on vetted grens.
Tiger comes in doctrines with skillplanes, fragmentation bombing, light arty barrage, panzer tactician etc., while Pershing is in only 1 non-flexible doctrine that restricts USF access to arty, which is essential in teamgames. Moreover after both tanks vet up, Tiger has higher range, higher rate of fire, higher armour, higher HP pool, can upgrade the MG mounted on the turret and is by no means slow. If you think about army composition possibilities and map variety for 2v2, not all maps are good for tank destroyers as some locations do not allow you to make use of your fragile 60 range TDs and your AT guns will die immediately due to ease of flanking with inf or Tiger just killing them with new improved AOE. These are the locations where Tiger has pure dominance and not much can be done about it, yet the problem is with Pershing that can lose to stock Panther which is significantly cheaper... I don't get it.
Lack of stock rocket arty and reliable response to sniper are problematic for 2v2+. Today I saw a top ranked 2v2 game with wehr sniper reaching 87 kills in 32 minutes vs USF before getting randomly killed by Scott. USF player went for M20 but couldn't kill the sniper due to gren presence, instead the M20 died from suicidal charge of 222.