This Bulbapedia article says Feebas can be reeled with any rod in all 3 versions.Unless someone already made this post, we have our next untiered Pokémon:
Feebas: F-rank —> Untiered (DP, but not platinum)
In Diamond and Pearl version, Feebas can be obtained in the Mt. Coronet fog room but only using the Super Rod; the Super Rod cannot be obtained until the postgame (Fight Area). Thus, Feebas cannot be used for a playthrough of Diamond and Pearl.
In Platinum version, all three rods can be used to catch it, so it should stay as is on the list.