I'll totally throw my support behind that idea

I'm not sure if you'll like this, but why not take away the Damage class features for these series of classes (aside from the Energy Weaver). After taking it away, you can be more comfortable with adding a little more versatility in other areas.

I say this because this differentiates the Energy Weaver even more, while for most of these classes the Damage class feature seems forced and not too thematic.

Also I would totally help you out with your Esoteric Knowledge-esque abilities, which I've noticed are great, but not numerous. For example, why not add upgraded versions of some of these abilities with prerequisites and all that?