Full disclosure, I watched some of one of the videos, not all of both.
But here's what I'd add -> the most important connection (when it comes to ear training) is between your ear and your instrument. Knowing/learning the names of the notes you hear and want to play is really an additional/intermediate step that isn't necessary, but isn't bad either. It varies in it's usefulness to a player, usually depending on how well grounded in theory they are. Theory is basically a language for describing musical ideas - notes, intervals, chords, scales, keys & so on. Many great musicians understand the musical ideas that theory describes, without actually having a very good handle on 'theory'.
Getting back to ear training, I also agree w/Ms. Nolte that using your voice to facilitate your ear learning is a very good idea.
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