The Tiger is a long range AT sniper
That means it's most efficient when used while
a) not moving and
b) from range
The Ostheer Tiger has 45m range compared to 40m from Wehr Tigers (because of their special AT ammunition), and shares the same hitpoints/armour than the Wehrmacht Tiger. It's surely a beast to deal with, but you can't expect it to be a all destroying army (just like a non vet 3 Wehr Tiger is). With some earned veterancy it easily becomes the most powerful axis tank available.
However, if you really want to hunt down enemy tanks I'd advise you to build Panthers instead. Their accuracy on the move is much higher (15% more) and its damage is the same (both Panthers and Tiger I deal 137.5dmg per shot). Also, Panthers are more mobile, so they can actually flank enemy IS 2/ISU152 more efficiently.