> You're also assuming your log infrastructure is a lot more durable than most are.

Make actions, not assumptions. Instead of using a one machine storage system, distribute that storage across many machines. Then stop deleting them.

> Dropping a log message here or there is not a fatal error.

I would try to reallocate my effort budget to things that actually need to work.

Drop logging completely, and come back to it once you have a flawless record of everything the system did. The reconsider whether you need it.