Deep Silver has announced it will be porting Saints Row: The Third to Nintendo Switch as the “Full Package” edition on May 10, 2019. For those unaware, that was the version of the game which included all of the DLC and was essentially a “Game of the Year” re-release. There was no mention of exclusive features or additions, but this should retain the co-op support that the original had.
Source: Destructoid The Saints come marching to Switch with Saints Row: The Third this May