Thats one of the main reasons for an upgrade, the better a recorder/burner knows how to react with a disc type will increase the chances of having a perfect burn.
This is necessary as disc manufacturers use different dyes and processing techniques, so variations in how that type of disc burn have to be tested and then instructions written via firmware to let the burner know that.
This is why the compatibility list is issued by manufacturers.
The issue with that one player of yours could be that it doesn't like reading that type of disc, or the format that the Liteon records in (VR format).
The disc itself may have a physical flaw that makes a bad burn.
My old pioneer player was king in its day but now it has problems with certain disc types, but my cheap Alba TV/DVD combo plays everything!
I had a 5005 and now have a 5004.
On both I have used - & + discs. On the 5005 I transferred a VHS collection of nearly 300 tapes onto a mixture of discs.