The parade ran at DCA for about 9 years and was sent over to MK where it is now playing. The older light parade consists of the actual floats that were at DCA just a couple years ago.
However with all of the construction at DCA, the parade route is too narrow in some places (or nonexistant right now), which is why the parade was sent to Florida. Will it come back once the major construction is over? Maybe, but probably not because DCA has WoC which is some pretty solid nighttime entertainment. Considering the parade route goes right by the WoC seating area, it would cause mass chaos with all of those people and trying to schedule the two would be a nightmare. So for now, DLR won't have a night parade for a while. They'll stick with Fantasmic, Remember Dreams Come True and World of Color. Although DL is getting a new daytime parade in a few weeks. And once all of the DCA construction is completed, I'm sure they'll also get a new daytime parade.