I don't have a TS2, but do have two TSO's.
On the TSO's, there is a screw to adjust the pre-travel, and another screw to adjust over-travel of the trigger. There are no reviews that I have seen that indicate the TS2 has the pre-travel adjustment.
Those two adjustments have a value that may, or may not interest you.
Also, if you discover that there is a pre-travel adjustment on the TS2 let us know.