It appears that the problem was not exactly with Imgburn but any burn software. CloneCD ended up doing the same thing. I had burned a few DVDs and then the drive stopped functioning. Rebooted and then it gets displayed as "ATA Device" and asks for drivers that are nowhere to be found.
I tried editing my upper/lower values in my system registry and that did not work. I ended up having to uninstall the device from device manager, turn off the computer, remove the drive, start computer without the drive in, then reboot again, and then the computer recognized the drive.
If anyone has this error where your TSSTcorp l633l device becomes listed as "ATA Device", I recommend you physically remove and reinstall the device.
Now I'm just wondering if fix will work indefinitely or if it will be temperamental.