With weapons all clear, there is a melee, range, paired, two-handed, one-handed…
But with the skills I have a question
Via Stung Jacks, Phantasmal Blades, Grenado…
In game lore this not magic, but they depend on the casting speed.
So this build is called Magic?
Most of the time builds are classified either by the core skill or damage type (e.g. DW WPS Blademaster, Primal Strike Druid, PB Spellbreaker, PRM battlemage, DEE Warlock, poison witch hunter, vitality conjurer, bleed trickster, etc.).
Builds you mentioned are generally called casters, but noone would say in discussion “melee battlemage” or “caster battlemage”, because it’s not constructive.
I beg to differ on your game lore statement. 
And dual class names like Elementalist, Sorcerer and Pyromancer sound pretty magical to me.
Thanks, what I need
very magical indeed 