Quick list of 700 issues that happened to me:

Broken firing pin from poor alignment (one)

Bolt timing/camming - failure to extract (two 700 actions). One was built by a gunsmith on this forum that a prominent poster here dotes on. Said it was hot loads or reloading issues, even after he had the action back in hand to inspect and could clearing see the primary camming timing issue. Sent it to a proper smith who removed and properly timed the handle/cam and problem solved.

Cratered primers (numerous 700 actions)

Misaligned scope base holes (numerous 700 actions)

Bolt handle fell off (one)

As for the bolt release being on the trigger, I've had to tweak on several rifles to operate properly, mainly due to poor action and stock alignment causing the release to rub on the trigger guard. When properly set up, it works, but damn its a cheap flimsy setup, that unnecessarily complicates trigger removal.