In the Latin Rite, does the Permanent Deaconate really exist much? I know it does in the Eastern Rite, and now in the Novus Ordo, but does it exist in the TLM?
I think so, after all, some High Masses call for a deacon.
I have not heard of the diaconate being permanent in the recent times of the TLM of the Latin church. There probably used to be a sort of permanent diaconate since St. Francis of Assisi was a deacon and never became a priest.
It is not normal to become a deacon, and remain so, within the Latin rite. This is not to say it has not happened, but it is normally not seen as a vocation in itself.