Technically, you can "roleplay" in most games if you use your imagination. But the thing is, the RPG genre isn't defined only by the literal definition of "roleplaying". There's much more to it than that.
The purpose of stats in an RPG is to allow for uniquely defined characters who can progress in the game and interact in a meaningful way with the world around them. Without stats, you're effectively not controlling a character at all, but a blank avatar. There would be nothing separating one character from another, no real consequences for your character's actions, combat would be based on player skill, etc. You simply cannot have a video game RPG without stats. It's the one essential feature.
The bolded part is the most important part.
What separates the RPG genre from other genres (aside from Action RPGs) is the fact that combat is
not player skill based... repeat
not.
An RPG with no stats is not an RPG, it becomes something else entirely. Or it becomes another genre with "RPG elements."
Tower Defense games are "stat heavy" and do not require lots of player skill as nearly every Tower Defense game is simply about placing and building units in the most effective fashion; it does not rely on twitch reflexes like say Street Fighter or God of War would, or even Tetris.
You appear to have misread me (which would suggest you aren't too bright), I never said the games I roleplay in are RPGs, just that I could roleplay in games that aren't largely stat based. I don't particularly care for for "literal definitions" so long as enjoy myself. I'll confess that I can't list five, because I don't play a great number, but to list:
- Minecraft.
- Red Dead Redemption.
- Saint's Row 2.
- Sim City.
Not an RPG.
Not an RPG.
Not an RPG.
Not an RPG.
Try again?
I can "role-play" in Smackdown vs. Raw Here: Comes the Pain, that doesn't make it an RPG.
If you are saying "oh well I can RPG in any game I want to" then why are you in a conversation about what mechanics make an RPG in the first place?
If there are no objective facts that sets RPGs apart from other games, what's the point of having genres at all?
So you know what game mechanics to include. There are many, many objective facts that set one genre from the other. Just because Skyrim, Oblivion and the original Monster Hunter have First Person archery in it do not a FPS they make.