Software bugs is a weak argument for a new hybrid standard, and doesn't justify the additional complexity.
What's more likely right now:
- Your cryptosystem is compromised at some point in the future if/when quantum computers exist and can effectively attack EdDSA/X25519. Something no one has yet demonstrated or come close to demonstrating.
- Someone implementing PQC in a library/software/hardware follows the standard which does not care at all about side channel resistant implementation of critical algorithms, resulting in your private keys being leaked. Demonstrated repeatedly over 20+ years.
[1] https://cr.yp.to/papers/safecurves-20240809.pdf#chronology
this isn't to say everything will go perfect, but the people doing implementations are more experienced now, and the problem is an easier one to do (though in a certain sense, optimizing compilers are making any side-channel resistance a harder goal to achieve. an implementation that is resistant under one compiler version may not be resistant in the future).
Additionally, NIST had the foresight to derandomize all the algorithms, so we can now check e.g. what a correct implementation will produce on particular seeds. This is a big deal because a bunch of e.g. ECDSA bugs, such as biased nonces or reused nonces, are trivally caught by such tests/derandomization.
TLDR: the bugs are going to be elsewhere.
ECC software can have flaws too but I don't think anyone seriously suggested hybridizing two different ECC implementations, for example.