Anime opening/ending songs as part of the Soundtrack work?

Continuing the discussion from Anime Opening/Ending Singles added as Soundtrack, should opening and ending song works be part of the Soundtrack work as it currently is in SOUL EATER with アイワナビー, or perhaps a new work for the TV size song, as in Death Note with 絶望ビリー 〜TVサイズ〜 and others?

I’m leaning towards not, or maybe the latter, unless the song was specifically written for the show, such as for Cagayake!GIRLS and others from K-ON!