This should be possible IMO, although I've not seen any post on cross flashing that particular model. However, I read posts where both SHW-160P6S and SHM-165P6S have been cross flashed to Sony DRU-120C aka DW-G120A; note the SHW-160P6S was first flashed to SHM-165P6S which was then flashed to Sony DRU-120C. I personally flashed a 165P6S to Sony DRU-120C. BTW I've also seen posts where Sony DRU-120C was cross flashed tp LiteOn SHM-165P6S too. All such cross flashing was done by downloading firmware desired to flash, downloading FlashFix utility from
http://digi.rpc1.org/flashfix.htm, running FlashFix (note upx.exe must be in same folder with FlashFix) on the downloaded firmware and then flashing the drive with the FlashFixed firmware. Unfortunately
http://digi.rpc1.org/ is experiencing problems and states they'll be back soon if you click that link.