I don't know if you can say he has a weak arm, I don't remember any talk of this when he was being drafted. I think it's just a result of his stats not showing long passes because he didn't have the protection for the couple extra seconds for the receivers to get down field. If it is "weak" there is always the ability to increase that through strength training.
He is a natural right hander, his father made him throw lefty; maybe he should start throwing righty. lol
I think the major question mark was the (hip?) injury prior to the draft, how much that affected not only his mobility, but in turn his ability to lean into the throw to really zing it.
The instability of the OL last season did not help one bit, and injuries to key deep targets not named Waddle didn't either. You just can't take that as a even a half decent sample size to evaluate this.
Hopefully the addition of quality beef to the OL to buy time, along with the likes of Diggs to seriously get deep, we can finally see just how much Tua can hit a deep target - because there will actually be some!