I'd say it's an RPG.
Though i'd say the term RPG may be outdated... since the core of RPG is being canabalized by the other genres.
How different is an Action RPG from an Action game where you level up your stuff? Not much right? except you'd expect the Action rpg to control worse, but have more options.
How is a Strategy RPG different from a regular Strategy game, like Advance wars, where you level up units and have special abilties. Once again, not much... except the main characters are the controllers and not the participants? But there SRPGs are games where this isn't so as well.
The line between SRPG and RPG has blurred considerably as other genres looked over and saw how leveling up can improve a game and also make a game more complicated as you go on, making the learning curve less steep.
Also, RPGs saw things from other genres they liked... so we got things like action RPGs....
Really the only RPGs that aren't blurred are JRPGs that kept the turn based system. Not too many games that handle battles like that with no leveling up.
