TMax and DD-X are inded similar, both are PQ type developers, but they behave quite differently, for what I experimented for a while, the Ilford developer keep a tighter control on the highlights than the Kodak counterpart, with Tmax if the user isn't careful enough, the developer can build too much density due to a higher activity.
The speed is similar, with both products giving an extra stop of speed, to my eyes, DD-X is sharper but TMax deliver a much finer grain, the developing times are also longer for the Ilford product.
I really like DD-X, gives full-speed and a rich negative range, but again, this is my experience, yours may vary.
Cheers
André