I haven't really seen any good generally accepted titles for a class that prefers both stealth and using magic overall, while there is obviously those names for the other two (marksman and rogue).

Since I'll be playing this build I was wondering if anybody had some kind of name they've heard of (don't make them up here, please I was hoping for something already decided, maybe in a game or DnD or something)

Closest I've found is shadowcaster so that is my de facto so far but I was hoping somebody would come along with something cooler and with more info behind it as well.

While I'm on this topic, what kind of typical class trope/stereotype/cliche does your potential build most likely symbolize?

If going by D&D 3.5 then Shadowcaster is one.

There is also the Beguiler, a class that relies on stealth and mostly illusion magic from Players Handbook 2.

My potential build will be a dualwielding templar with whatever skills they get for healing.

So if going by D&D it'll be a Favored Soul with dual wielding feats