The standard information I’ve gotten from manufacturers who make pro gear is no.
For modern gear, the jitter is higher with external clocks merely due to the distance of the signal than using the internal reference with a very short distance.
For older gear (> 10 years) your mileage may vary. The reason for the distinction is that modern gear has fantastic, cheap clocks and the DAC designs themselves have improved upon jitter rejection a great deal.
Another thing to consider is whether the external clock actually has very little jitter or not. Some based on atomic clock technology have very high long term stability (meaning in a month they lose/gain very little) but actually have high sample to sample jitter.
For modern gear, the jitter is higher with external clocks merely due to the distance of the signal than using the internal reference with a very short distance.
For older gear (> 10 years) your mileage may vary. The reason for the distinction is that modern gear has fantastic, cheap clocks and the DAC designs themselves have improved upon jitter rejection a great deal.
Another thing to consider is whether the external clock actually has very little jitter or not. Some based on atomic clock technology have very high long term stability (meaning in a month they lose/gain very little) but actually have high sample to sample jitter.