Unless I'm missing something there doesn't seem to be any way to rotate a covers texture once placed, would it be possible to have some way to either rotate through all the possible texture sides, or perhaps if possible change which texture side is pulled from the donor block on a per side basis on the carpenters block.

For example it would make situations like this simpler, instead of having to use the hammer to remove the cover and then try placing the cover at different angles to get the log ends hidden.

I'll think of a way to handle this.