The idea that it's either character stats or player skills that determines the outcome is nonsense. Player skill always plays a part in games, otherwise they wouldn't be games, you'd just create your player and then watch as a non-interactive movie plays out.
Even if damage and aim is determined solely by stats, it's still the player who decides when, where, how, and who to attack. If a character dies attacking an enemy who is far to strong, it isn't solely down to the characters stats being too low, it's also because the player made a poor decision. I'm currently playing Persona 3, a turn-based RPG, and while it's the characters stats that determine if you hit the enemy and how much damage you do to them once the individual attack has been launched, the outcome of the battle is also determined by which attacks the player chooses, which persona they have equipped, and which enemies they target.
To give a proper example of this, rather than the nonsense above, in Silent Storm, your character can be standing right in front of the enemy, but if your weapon skill is too low and the roll determines you don't hit, then your character will aim away from the enemy before firing, purposely missing them. Hell, player skill isn't even the issue here, it's that the game doesn't factor in that being at point blank range ought to mean you don't need a high weapons skill to hit.
Of course when people argue against player skill, it seems that what they really are against is player reflexes. This is a leftover of the days when CRPGs were PnP simulators. In PnP, the character can't use any of their physical skills, because the game world and everything in it exist solely on paper and in the players imagination, but some folks seem to have taken this as a rule rather than what it really is, an impossibility.
CRPGs aren't limited to what PnP RPGs can do. Nor are they limited to being what any one person prefers them to be.