Did you actually watch the replay? I had only one tank left after the Sturm Tiger appeared, which was pretty much beyond my control, and there is no way to destroy it with just one T34.
Yes I watched it days ago, im just telling you the only way to destroy it, not describing what you could have done , lol
The only thing I would change to Stuka is to not wipe so often RETREATING squads, everything else is fine. It has longest cooldown ever, so you must choose carefully what/where to drop its payload.