Does the Enochian language actually belong to the Angels?

No it belongs to Heinrich Cornelius Agrippa who made the enochian alphabet from messenger angels called Scriptura Malachim.

The malachim and enochian are two completely different things but I suggest to use the malachim. Its letters represent angelic seals which enochian doesn’t. Malachim also derives from Hebrew and Greek which enochian comes from Hebrew semetics.