What kind of gaps? There are no gaps. Sampled signals perfectly represent the original wave up to half the sampling frequency. Analog systems are inevitably limited in their frequency response as well, so, given the same bandwidth, there would be no difference at all.

In the real world, imperfect A/D and D/A conversions are typically still far less destructive than all the mechanical and electromagnetic sources of noise that affect analog systems. You can't consider one but not the other.

https://www.youtube.com/watch?v=cIQ9IXSUzuM

I think you're right that recording equipment has a long way to go, though; regardless of format I think people can relatively easily distinguish real acoustical instruments from recordings.