Thanks for the super fast reply!
I assume that the image I mentioned above ( http://download.osmc.tv/installers/diskimages/OSMC_TGT_rbp1_20160306.img.gz ) is the latest image for the Pi Zero, so it should be compatible.
This is likely just something silly that I’m missing on my end. For reference, other users that I was referring to with similar symptoms:
This post was soon after it came out, so it was probably before the image was made compatible.
Another post was more recent, however.
I’ve left it running for maybe 10-15 minutes or so before pulling the power, but no log file was created. Should that be long enough to generate the log?