ExploderWizard
Hero
Why even have mental stats if they aren't going to do anything?
I may be able to solve any given puzzle, if I try, but sometimes that's not in-character. I like to play dumb fighter types who go up and hit things with a club, and nothing breaks immersion quite as much as the party idiot explaining to the wizard and cleric how to get past a complicated series of door locks.
Players do not exist within the game world. Characters do.
Characters don't sit around the table looking for mentally engaging gameplay- players do.
My character cannot enjoy solving a problem, it is just a bunch of numbers & notes on a piece of paper. I am at a loss why anyone would ever consider such a thing more important than the real human beings at the table.
IMHO engaging play is important. A lobotomized monkey can sit at the table and roll a die when prompted. If everything is about the character then the player is little more than a meat sack die rolling app. To me, such a game would feel more like I was playing the old classic arcade game Dragon's Lair where I would largely be a spectator until that little light flashed at which point I would mash a button to continue the story. That game had great graphics for it's time but it wasn't very engaging.
Mental stats do plenty for the character. Remembering a clue (especially if it's been a month for the player and only hours for the character) INT check. Perception uses the senses of the character (WIS). There is no need to make the stats pull extra duty and do the real time thinking for the player.
If you do, why does the player technically need to be present? Without a chance for me personally to directly influence play I would see no reason to show up.