All components, cables, have a sound. You cannot get around that fact. Copper versus silver, tube versus SS, etc. Different tubes have a sound.
The transports you listened to have an impact on the sound. The one is more musical and the other is more transparent. Different reasons why but I will not go into this here. The DAC is just reproducing what is being feed to it and then impacts its own sound characteristics. That is why you try different things in your own system to hear what changes they offer.
My friend had a Nano transport, Rega, NuPrime, Metronome, Cambridge CXC, Sim (not the same model here) and then preferred the Electrocompaniet one up CDP. So you have to try out things for yourself and then decide.