Yes: hard as it is to believe, if you leave even a premium DVD/HDD recorder to sit in its box rotting unused for a decade, chances are the burner will be hosed when you finally try to use or sell it. The dirty little secret of almost all these units is that they were designed with poison pill burners that self-destruct ala "Mission: Impossible" over time (whether you use them or not).
Never was this more apparent than with the Toshiba XS units you favor: heck, many of those had parts fall out of their burners upon first use (never mind after ten years storage). I'm actually stunned that yours are still usable at all: good on you. Then again, my friend Super Eye has managed to burn 40,000 dvds in his Sony RDR-HX780, which uses the same burner as your Pioneer DVR-460, so go figure luck.
A like new in box Pioneer DVR-460 could be worth anywhere from $300- $600 on eBay (despite utterly underwhelming you, it is actually one of the best DVD/HDD recorders ever sold in North America for people who just want to get down to business and not be aggravated by 1000 options and 400 quirks). In their heyday, they were the least buggy, most reliable units ever offered. But, store them unused, and a decade later you have a useless box of transistors. Without a functioning burner, you'll be lucky to get $100 for it after eBay seller fees and shipping.
When listing, be sure you put 96 point text at the top of your description, screaming that the burner doesn't work reliably. Tag the "for parts or repair" category. And then pray you don't get one of those infuriating bidders who can't read or comprehend anything: if they "suddenly discover" it doesn't work when they receive it, and file a defect complaint, eBay will force you to take it back and pay the shipping both ways. Not cheap on a package this size and weight. You might actually be better off cannibalizing it and selling the parts separately (HDD, remote).