CD transports; do they really matter

In my pursuit of total sonic harmony, I have been investigating whether a CD transport ( to replace my bulky and aged Luxman CD player ) would be a good option.  I had an interesting conversation with the manufacturers rep of a respected brand regarding his companies CD transport.  He basically said its all in the DAC, the transport, as long as its not a cheap component, does not make much or any difference. So, I ask does it really matter?