https://sites.google.com/site/pathfinderogc/magic/all-spells/r/recharge-inn ate-magic
I don't suppose this would work for Hand of the Apprentice (universalist wizard), would it?
No. Hand of the apprentice is a Supernatural ability (Su) not a Spell-like (Sp).
EDIT: Additionally no, as it specifies spell-like abilities from racial traits, not class features.
Magical Tail is a feat, not a racial trait. It won't work for that either.
It doesn't count as a "spell-like abilit[y] you can use as a result of a racial trait", "racial trait" being one of those things in a race description with a bold name in front of it.
It doesn't count as a "spell-like abilit[y] you can use as a result of a racial trait", "racial trait" being one of those things in a race description with a bold name in front of it.
He is technically correct. Though it is a grey area. The spells provided by magical tail are not from a racial trait, but a racial feat. Debatably even drow nobility, though it ads levitate and feather fall to their list of spell-like abilities, they are not granted by their base racial trait, and thus would not count (levitate would not anyway as a 2nd level spell).
However, as a grey area, I would ask your GM. Though it is not worded as such, racial feats that grant spell-like abilities may technically count as part of the racial trait they modify, or in the case of magical tails, count as a racial trait at GM's discretion.