Congress has explicitly rejected this method of resolution. To disregard the “clear will” of Congress is to disrespect the whole legislative process & constitutional division.
Gloss: The deeply imbedded traditions of govt cannot supplant the Const but they give meaning to its words. The longstanding practices of Executive can be considered gloss (implied/unenumerated powers) on its power. But unenumerated does not mean undefined. The 3 isolated incidents (“?”) are not sanctioned by long standing Congressional acquiescence.