When I compared my Sony HAP-Z1ES streamer to my MBL 1621A transport, I could not distinguish a difference when they were running through the same DAC, an MBL 1611F. The rest of the chain was an MBL 6010D pre-amp, MBL 9007 monoblock amps, and MBL 111E speakers. I played the same song through both simultaneously and switched back and forth between them. They sounded identical to me.
I sent the output to my headphone amp as well and kept playing music and switching between sources on the fly. Again, I wasn't able to detect a difference.
This was my experience: others may have different experiences. But in my system, my $2,000 streamer equaled my $20,000 transport.