Sorry, a CD burner is the lingo used to describe a drive that "burns" CD blanks--i.e., writes to them. To rip a CD, you need a CD reader.
A CD transport gets to read the data on a CD once and, even if there is some buffering, the bits read off the CD are basically what goes to the DAC. So, a transport is subject to the vagaries of power supplies, glitches, whatever. The disk has to be spun precisely, because it just gets one chance.
On the other hand, the software that controls a CD reader on a computer can tell the reader to read the same block of data over and over again. A good ripper--like EAC--does that and compares the data it gets, over and over again, until it is statistically satisfied that the copy created is a complete and accurate duplicate of what is on the CD. Because a computer can read the data created off a hard driver--where much more sophisticated error correction can be employed--timing sort of ceases to matter. The data is spit out asynchronously over USB--no timing information.
That is why I say everything behind the USB cable is irrelevant. The timing is supplied by the USB audio device, which buffers the data and outputs it based on its own clock.
To give you a very concrete example, I've got several "unplayable" CDs--stuff that won't read in my DV50S, my Theta David, my Sony SACD player... But, I can rip those with EAC and get a perfect set of .wav audio files off of it. Takes forever, and I wonder if replicating a bad CD is worth the wear and tear on a CD ROM that is basically running for 24 hours straight, but it works...