[Tiger] has even worse AT capabilities than the Panther.
This is just false. The Tiger has a (much) better TTK against all vehicles. A vet 3 Tiger is significantly better than a vet 3 Panther at killing tanks.
Counting from the first shot, at mid range,
A Panther has a TTK of 19,95-26,6s against a medium tank, as it's likely to miss one shot due to average accuracy and poor scatter.
A Tiger has a TTK of 15,75s against a medium tank, with a small chance of 21s because it has high accuracy due to very tight scatter.
Against an IS-2 at far range, the Panther has a TTK of around 59,85s (disregarding accuracy this time) while the Tiger has 47,25s. The difference will probably be bigger because the Panther is more likely to miss shots.
The Tiger loses the range disadvantage at vet 2, is usually able to vet up faster because it can also easily deal damage to infantry, has higher accuracy, significantly higher DPM, has more staying power, while the mobility disadvantage is not that big. In summary, it does not have worse AT capabilities than the Panther. It's not even close.