The video is more clickbait than substance.
That said, the loudness war is well documented.
In general, we tend to like what's louder, and that's what drives much of this.
I recently heard that one of the sneaky tricks of a many of VSTs is that - in addition to adding the effects "on the tin" - they also slightly increase the volume so we hear the result as "better".
If you like that modern sound, iZotope Elements is on sale for $29 until 8/14.
If you
don't like that overly compressed sound, there's no need to master it that way. But if your song ever gets wide radio play (as if people still listened to the radio

), the station will automatically apply compression to the song anyway.