After printing several hundred with no problems attributed to labeling I would say it's possible, just like anything is possible, but not likely. I changed to inkjet printables because it's more convenient and has a nicer look not because of technical problems.
As a matter of fact, I have in my posession DVDs that are inkjet printable and I can no longer play them because the printable paper deteroriated and began flaking and falling off the disc. This led to bits and chunks of paper coming off in the DVD player.
Allen W

I use the Primera Bravo Pro. I just timed a small print job with a stop watch.
Twelve discs with labeling only, not full bleed with "normal" print mode. Actual time from hitting the print button to the last disc dropping into the completion bin. 8 minutes, 25 seconds. The printer has a capacity of 100 discs at a time and reloading takes seconds.
With a little research on the web you can save over $800 off the list price.
I find it is well worth the price. No more Epson 260, 300 & 960 for disc printing for me.
The agony of printing to DVD or CD is a thing of the past with an auto printer.
Allen W

Epson R340 Disc Feed Gets Finicky
 

My R340 prints a great label but, after about 200 copies, the feeder tray began to overshoot its placement and the machine spits it back out with an error message. I found that I have to hold the feed tray back for about a second with thumb and forefinger as the pull begins for it to work.

Anyone else have that problem with the Epson?

Actually, I have to keep pressure on it so that it grabs correctly when the time comes. Sort of the opposite problem.

Something to try. The lower plastic extension that sits lower than the dvd tray should actually be pulled all the way out so it barely makes contact with the dvd tray, this gives the whole system a bit more friction, traction, or fraction, and it may eliminate the problem you are having.

You should check out this thread:
http://www.dvinfo.net/conf/showthread.php?t=86500

I'm curious as to what brand of media is used in this case. I haven't noticed this in good quality Taiyo Yudens or good Verbatims.
-Jon