This is...both extremely obvious, and also not something that I've ever done before, thought of doing, or seen anyone else do.
Every single instance of Valgrind usage I've encountered or initiated has been triggered by a specific bug or performance regression.
Proactive use of the Valgrind suite (Memcheck and Helgrind at least) as part of the development process would probably result in massively better stability of most tools - and would also make it far easier to find bugs (as you could find them when they were introduced rather than hundreds of commits later).