figuring out the shape of the right theorem to be proved, not the actual proof which is where most modern math concentrates its prestige.

Many geniuses have a bad reputation for checking all the details and writing them down. Kontsevich and Thurston are good examples. People complain about this but the status hierarchy isn't much affected by those complaints. Low-status mathematicians don't often get away with Thurston's attitude, but nor do they accumulate status by being more conscientious.