Yes. If both amplifiers are capable of delivering the current drawn by the load at a given output voltage (volume dependent) and both exhibit low output impedance (less relevant to Sundara), noise and distortion will be the factors which determine whether the amplifiers can be distinguished from each other.
I read experiences of people on a laptops have to push the volume way high to make Sundara sound better, that's definitely the case for me, on max volume it's painful but it sounds muddy, for those people using a decent amp they don't have to push volume and they say it's a major improvement in sound stage, low end performance etc (can't personally confirm), @holicst experienced similar issue.
In practical terms, almost any modern source will exhibit noise and distortion below the threshold of audibility.
If noise isn't the factor here, how do you explain this behavior?