It's interesting to think about, but I'm not as bullish.
Stipulate that we're just talking about X.509 validation. (You can still have "goto fail" with working X.509, but whatever).
Assume we can permute every field of an ASN.1 X.509 certificate. That's easy.
Assume we're looking for bugs that only happen when specific fields take specific values. That's less easy; now we're in fuzzer territory.
Now assume we're looking for bugs that only happen when specific combinations of fields take specific combinations of values. Now you're in hit-tracer fuzzer coverage testing territory, at best. The current state of the art in fault injection can trigger these types of flaws (ie, when Google builds a farm to shake out bugs in libpng or whatever).
Does standard unit testing? Not so much!
Would any level of additional testing help? Absolutely.
But when we talk about building test tooling to the standard of trace-enabled coverage fuzzers, and compare it to the cost of adapting the runtime of a more rigorous language --- sure, Haskell is hard to integrate now, but must it be? --- I'm not so sure the cost/benefit lines up for testing our way to security.
For whatever it's worth to you: I totally do not think code audits are the best way to exterminate these bugs.