Recycle and alternate ways of playing creatures

[Maraxus of Keld]

Does using cards like Quicksilver Amulet, Cryptic Gateway, or Belbe's Portal count as playing a card for the purpose of triggering Recycle?

[The Legends]

Using this example from the Saturday School Rules: Recycle, it would appear that no, playing cards in this manner does not trigger Recycle.

"Q: I recently bought a Eureka, because it sounded amusing. One suggestion that was made to me was to use it with Recycle. My question is, with Recycle in play, does Eureka let me play as much of my deck as I wish?
-- Rob Chase

A: No, it doesn't. Recycle triggers when you play a card, and this means either to play the card as a spell, or to put a land into play using the regular "play a land" action. Eureka puts cards directly into play during its resolution, and putting the cards into play doesn't use the stack, and won't trigger Recycle. Eureka will let you put all the cards you have in your hand into play, but you won't get to draw any more."