Nope, mp3 can still be 44kh sample rate, but compression algorithm loses fidelity. Its not 100 % reproducible. This the name lossy compression vs lossless.

Edit To be clear: he’s shown live DAC, not extraction from compressed audio. To illustrate that we can capture the wave and reproduce…but when you compress with lossy, its lost.

There is a website where a person put mp3 output back through as input multiple times till the sound gets garbled through entropy. Couldn’t find the link, but this dude did the opposite and captures what the mp3 algorithm drops. So when you listen to it it is mostly quiet but a lot of sounds left behind. https://www.factmag.com/2015/02/19/listen-song-made-entirely-data-lost-compressing-suzanne-vegas-toms-diner-mp3/