As luck would have it, IR w/DecodeIR.dll v2.14 doesn't decode them at all. No information for Protocol, Device, etc. Worse yet, all the signals appear to be identical based on the Sent Once and Sent Repeatedly data., and they do not work (the A/C doesn't respond).
I found the Sharp Air Conditioner.txt file that includes a custom protocol (based on Kaseikyo) with 5 of the 6 functions my remotes have. This device/protocol upgrade DOES operate the units, so I'm heading in the right direction.
So now I'd like to find the proper command for the SLEEP function I'm missing. I've uploaded Sharp_AF-06ERL_Air_Conditioner_1994.txt to the Diagnosis area. The signal I need is learned to the AUX1:1 button. Since the learned signals all appear to be the same, I can't find any correlation between them and the data in the upgrade file, maybe one of the learned signal decoding experts can help me out?