I've just come across a tale of Rickenbacker bass dual truss rods not being up to the job of adjusting the neck profile under tension. But this seems to only relate to basses built with a folded single-piece rod they used in the 60s and early 70s, and it was made from very soft steel indeed. They since changed the design to use two separate rods made of stronger steel, and I don't believe they've had problems since. But this was one pretty specific example. There may be one or two more, but it's not at all commonplace.