I reckon singing is only about ¼ of what makes an atmosphere.
¾ is being involved in every kick of the ball: every pass is a ‘BALL!’, every tackle and interception comes with punch in the air and a ‘YYEESS!’, every dribble it’s a ‘GO OOON!’, every throw in won there’s applause, every corner you get on your feet clap and cheer the taker, every shot comes with a ‘OOOOOOH!’, every bad referee decision comes with a ‘FUCK OFF!’, every opposition miss gets a ‘AAAAAAAAAAHH, YOU SHIT ****’…
When most of the ground are all doing that, that’s what makes the best atmospheres.
Your example of the Liverpool 2019 2-1 win was the epitome of that. Same with the Kompany 2012 1-0 derby win. Both games actually had little singing (some at the start of the game, some around our goals, some at the end of the game, but a huge about of the fan involvement in the games.
Those atmospheres are the best kind of atmospheres in football, better than the best examples of Ultras atmospheres. You can’t beat the best English proper up-for-it atmospheres.