There could be a frog on the branch on the log on a hole in the middle of the sea. But I agree that one should not be drawn in with dubious promises of cake.
I'd prefer it to be alive actually, but we all have our own preferences ~ Maybe I should give it a bowtie?
I had the same reaction to what @Cynthia in FlintHills said. Consume the log branch with pesto?! That is surely too strong of a flavour for the delicate and nuanced taste of the log branch. Or so I imagine – I've never been brave enough to trap one, let alone eat it.
A log branch that's neither alive or dead, so...Schrodinger's Log Branch then? *sings the old Log Song from Ren & Stimpy*