It is also possible that this is an incorrect interpretation despite its position as the top HN comment. Note I am not saying it is incorrect, I am saying it is possible it is incorrect. Anything is possible, right. Well, almost.
FTC Commissioners are appointed for terms of seven years,^1 and no more than three can be from the the same political party. The Senate must confirm nominations. The President chooses the Chairperson. See 15 USC 41.
Commissioners frequently resign before their terms expire, but I am not aware of any instances where a Commissioner, or all five of them, as suggested by the parent comment, have been been "fired" for political reasons. Perhaps an astute HN commenter can cite one.
1. The exception is if they are filling a vacancy left by someone who leaves before their term expires.