Archmage support + Abberath's Hooves

Heyo, can you please make Archmage and Abberath's Hooves work together, i see absolutely no reason why they shouldn't work. It would be faaaaaaaar away from op, and the wording already is correct.

Most likely culprit is the line "This skill costs nothing" on the triggered skill interfering with "Supports spell skills that hit enemies and have no reservation." on Archmage support.

Whether or not intentional is unclear. Since it costs nothing, it technically has no reservation which breaks logic for the supports like Archmage and Sacrifice. A shame too cause a Sacrifice life stacking autobomber could be interesting as well.