This phenomenon of course applies to all hi-fi components, not only DACs.
But DACs have a unique job to do that is not required of any other component. And which is impossible to achieve. The DAC has to reassemble accurately the analogue signal that has been smashed into billions of small pieces when converted to digital. No DAC can do this with total accuracy in the time domain. It is possible to spend $50,000 or more trying to do a job that would be unnecessary if the signal remained analogue. In general, more expensive DACs will give results nearer to the analogue signal.
As @tonywinga says 'The right DAC will make the music connect to you on more than an emotional level.' Like analogue.