I passionately believe that games are for players, and if you want player choices (and therefore player skill) not to matter, you should be building a simulation, not running an RPG for human beings.
Spoiler: Simulations
Show
There's nothing wrong with simulations based entirely on extrapolating results based on character abilities--they can be fun--but simulations are toys, not games. You don't ask other people to sit around and watch you run the sim.
Do character abilities matter too? Often, sure! If I write an adventure where you have to win a certain ~8th level fight in order to save the princess, that's a puzzle where you-the-player are trying to figure out a solution which leverages you-the-character's abilities to maximum effect so you can beat the guards and win the adventure. You would be unlikely to win that fight if you were a 1st level Bard with 3's in all of your ability scores, so yes, character abilities matter there. (And the DM will have made sure that you don't have that adventure at first level, unless you want to.)
But if you're a crummy player who makes bad decisions, you may lose that fight even if you are 12th level.
Ditto for riddle games. If there's a giant guarding a bridge who won't let you pass unless you beat him in a riddle game, I may give you the option to choose between
(1) I tell you the riddle, and then you must solve the riddle with your actual human brains and tell me the correct answer; or
(2) choose someone in the party to roll a DC 20 Int check;
or you may even choose the third way and
(3) Action Surge a bunch of GWM attacks and kill the giant while he's surprised.
But no matter which option you pick,
there will be some way that you could theoretically make decisions that are bad enough that you would lose. I will not give you a situation where player skill doesn't matter, because those situations aren't fun for the players or the DM.
Meaningful play is based on the feeling of agency, which in turn is a perception that the choices you are making as a player
matter.