"I have wondered whether errors in the music while being transported over the internet/server/etc just create more issues than a simple CD transport to the DAC. "
The answer is no. The interent simply wouldn’t work at all if data were not transmitted accurately.
One thing that can occur is line noise getting into the connection to dac from streamer and causing jitter, however that is not a practical issue even anymore with modern DACs and streamers that are designed to deal with that effectively, ie are jitter resistant.
CD or streaming might sound better case by case. The devil is in the details.