Yes, it does stop at TTC after stopping the Contemporary Resort. As far as whether it's faster...
Assuming both trains leave MK at the same time, the express train (MK & TTC stops only) will be faster.
As far as whether the train YOU get on would be faster... how long is the wait for the express monorail? How long until a train comes in?
Generally, you won't need to wait on multiple trains on the resort side. BUT, I would think the express side goes through trains quicker (although I have no stats to back that up).