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Are there any benchmarks that you know of comparing the performance of the two?
Nonsense. Yes, random key lookups are more expensive than sequential. That's true for both LMDB *and* filesystems. There is no scenario where opening a file to retrieve a single record will be within even 2 orders of magnitude of LMDB and it's utterly irresponsible of you to even suggest such a thing.
Show code and test results. Otherwise you have no business speaking on the topic.