Kind of, but that's not the case here. 3dB up is about twice as loud physically, and more away from the noise floor. Young ones with a healthy hearing have a headroom of over 120 dB sometimes, between silence and top level. So every dB counts IMO with only 16bit digital audio, less a problem with 24bit.

In the old schooldays of audio schooling, when digital audio (16bit) was coming around, the 'official' audio for TV mastering (DAT recorder masters, Sony PCM then) were taught as -12dB to be standard max level. Dropped soon, everybody was pushing the limits, especially the commercial for radio and TV guys; you gotta get as loud as you can ....

Still now, only i like to master at - 3dB, so you can do some post production sweetening. Looking at the graphics on Soundcloud you can see a who's who. Some productions are completely flattened out at top level, probably only a mere -0.5 dB headroom. Usually these 'music' files are quite unbearable to listen too.

Unless one likes pink noise kind of stuff with a four to the floor 120- 130 Bpm boom boom bass drum added.