Glamour Bard is not listed either, yet the text for the subclass says they can cast Command as a Bonus Action. The text for the Eldritch Knight says they can use the Attack action to cast spells with a casting time of 1 action.
Similarly, the Ready action states you can ready a spell with a casting time of 1 action.
Except the ready action says you cast the spell "as normal" and limits the spell to 1 action spells. The "cast as normal...," to me means as a magic action. How do you cast a 1 action spell normally? As a magic action. Otherwise it would just say as an action, not "as normal."
Again, certainly not iron clad, but, to me, makes more sense than reading it otherwise.