Yes. This is why a tender offer for existing common shares @$10.00, or thereabouts, clears the decks for a subsequent and "clean" IPO for core recap. The offer if made as a share "retirement" deal would be within FHFA authority as conservator seeking a pathway for recap and release.
Maybe one of you accountancy experts could clarify if buyback shares returned to Treasury stock are still eligible as core capital. Anyone?