Both 50 move rule and stalemate are extremely rare at high level.
I did find one very recent example (from World Cup) where 50 move rule should have ended the game until Bruzon blundered at the end
https://www.youtube.com/watch?v=CjsHwPYjAPAReason why they're so rare? This should be obvious, but GMs already know if a game is drawn or not and they'll agree prior to any forced drawing conditions.
I agree with you. I just posted an interesting example of where it almost happened.