Threadbare and grainy treble, a DAC issue?

Hi folks, I would like to know if a somewhat threadbare and grainy treble could be caused by the D/A converter. I have a good albeit old DAC, namely the Goldmund Mimesis 10C+ (from 1995 I think). The transport I'm using is a "SOTA" MBL 1621. With this combination I hear lots of detail and space. The bass is Ok, midrange is quite good, but the treble has (especially with violins) the abovementioned quality. I would like to have a smooth and refined (grainless) treble. Could this be achieved by replacing the DAC with a more contemporary DAC like the Weiss Medea or Accustic Arts Tube DAC? Thank you in advance.

Chris