Charged Staff not counting as Lightning Skill (Rising Tempest)?

Posting here because I have to imagine this is an oversight and not intended, but it appears that charged staff doesn't count as a lightning skill and thus doesn't contribute to the "+12% ele damage" noted for Rising Tempest. I get that Charged Staff doesn't note it is a lightning skill, it sure feels like it is to me, though i understand that would essentially give just casting Ice Strike with a charged staff would be +24% ele damage lol.

Tested by comparing use of ice strike/hypothermia/ball lighting which all worked as intended w/ 12% more ele damage individually and stacked accordingly. Neither Ice Strike or Hypothermia stacked with either the initial cast of Charged Staff or shockwaves associated with charged attacks. Have video that i dont feel like uploading but will if asked. thanks.