As a general rule, DLR parks have a much lower percentage of FP attractions compared to the WDW parks. For example, WDW's Peter Pan, Winnie-the Pooh, Jungle Cruise, It's Tough to be a Bug, Star Tours, and Honey I Shrunk the Audience (although I'm not sure if it's still at HISTA) all have FP, whereas, DLR's versions do not.
Also, TSMM has a very high capacity and the line moves quickly. My guess is that the stand-by line at DHS for TSM moves MUCH slower compared to the line at DCA because they have to stop it every once in a while to accomodate the FP users.
TSMM at DCA does have Single Rider, whereas, DHS's version recently terminated their SR line I believe.