Does a cheap cd transport create poor digital copies?

EAC and DBPoweramp both seconded.

As long as the disc can actually be read, the copy will be perfect. The copy can in fact end up being better than the original, if the latter originates from the end of the run of a stamper.

A pressing plant will often use their stampers for longer runs than are advisable in order to save on cost, with the result that the last CDs in every run end up being difficult or even (very rarely) impossible to read. A successfull copy, on the other hand, will always be perfectly readable.

I’ve used EAC in the past and agree it works well. 

My Sony z1es has cd import software, and has a error check option that takes about 4x longer. So this does answer my question, I’ll just  import directly to the hard drive via USB from the external disc drive, and this should create an exact dupe. 

Thanks for the assist, much appreciated. 

I suspect a CD can be read poorly intruducing errors. See the wikipedia for the Red books spec. There is some error corrction but not very strong. The PCM encoding of the digital output of a SPDIF has an analog component, as you will find out if you plug it into a line input on your preamp. How effective accurate the embedded clock is another discussion. ESS adresses data stream clock recovery in their better chips. SPDIF is compromise for convenience that lacks a distinct clock signal. 
Errors on the disc surface may be enough for a disc read to fail. If a transport is better at handling this it may also be better at handling less intrusive errors. 
The near realtime nature of SPDIF is a clue to how little processing buffering is actually done.
Old technology.

"I suspect a CD can be read poorly intruducing errors"

The point of using a program like EAC or DBPoweramp is that, if you choose, error won’t be accepted. If the disc can be read, a perfect copy will be made. If it can’t be read, a copy will only result if you’ve chosen settings which allow errors, hence allowing one to be made.

My own experience, with a thousand CDs or so, indicate that CDs which cannot be copied perfectly are very few and very far between. Off hand I believe I remember having trouble with 3.