I'm going to assume you are posting in good faith, and answer in that vein.
An average ish performing DAC my have Sinad of around 100dB. That means any "tiny changes" (noise and distortion) are 100dB below the level of the music.
What is 100dB? It is 0.00001 - yes correct - that is 100,000 times smaller than the music. Lets visualise that with a visual comparison.
Take a penny. I think the British penny is similar in thickness to a USAnian one, or a Euro cent - slightly less than 2mm. Lets just call it 2mm for simplicity.
Make a stack of them 100,000 pennies tall. That stack is now 200m high. About the height of the One Court Square building in long island city (see image)
Now imagine you are at the base of that building looking up. You want to see the whole thing without moving your head or eyes. You walk away, looking back until you can. Stand and look at the building taking in the hight - no eye moving remember.
Now imagine the stack of pennies the same height. Looking at it from the same distance. Can you see the individual pennies?
Thinking of it more from an audio point of view. The quietest sound a human can hear is 0dB. The nose floor in a fairly quiet room is already 20 to 30dB. A typical listening level for music is about 75 to 80dB. 90dB is pretty loud. If you were listening at 100dB - maybe the level of a loud nightclub, you'd be putting your hearing at risk after about 15 minutes.
But even when listening at 100dB dangerous levels, the noise and distortion is 100dB lower - at 0dB - the quietest sound a human can hear. Can you even hear your room noise floor (30dB) when playing at 75dB? Of course not, so no chance at 100dB - and yet the noise/distortion from this DAC is still 30dB below (31 times smaller) the noise floor of the room. The music is now so loud you can't even hear someone shouting next to you - let alone the sound of a small feather landing on the back of a kitten.
So, no - the "tiny changes" introduced by the DAC are not audible even when amplified - first because even when amplified they are lower than we can hear, but also because the music is also amplified and would mask them even if they were 100 x bigger.
Oh - and this is just an average DAC. The best DACs measured here are more than 10x better than this average one. So the stack of pennies is now 2km (1 1/4 miles) + high. Or 10 of these buildings one on top of the other.
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