This ain't happening and can't happen.
Granted the offside was highly egregious and probably the worst HUMAN ERROR mistake in Premier League VAR to date but let's be sensible.
If Liverpool don't believe it was human error, then it falls into the territory of malicious intent to not award the goal and we go down the avenue of corruption, fraud, deceit etc, which is not what I think that they're angling at. But if so, that's a different discussion.
But assuming Liverpool accept Human Error is at fault then...
1. The on-field decision was "offside". If there was no VAR in existence (as some people would like), then the goal still would have been disallowed and it will be like the good ol' days of bickering how the officials got that wrong.
2. The worst situation I have ever seen from memory was the Aston Villa vs Sheffield United game during 2020.
The ball clearly crossed the line and goal line technology failed Sheffield United. More to the point, it saved Aston Villa as they picked up a point. The game ended 0-0. 9 games to go till the end of the season too. That season Eddie Howe's Bournemouth finished 18th on 34 points and -25 goal difference. Aston Villa finished 17th on 35 points and -26 goal difference. In other words, had Sheffield United goal had stood and everything else being equal after that game, Aston Villa would have gotten relegated instead of Bournemouth etc. Yet the game wasn't replayed.
This Spurs vs Liverpool game is only GW7 so in 31 games time, it may not even have any bearing on the outcome of titles/champions league qualifications etc.
3. If they were to replay it then what are they replaying? From when the Diaz goal should have stood?!
that was on 34mins and Liverpool were down to 10 already. So should it be 11 vs 10, 1 nil Liverpool for 60mins approx? should it be the same players on the field at the time (bar serious injury)? What exactly would Klopp want?
4. As Klopp stated "open the gate for everyone", then i guess PGMOL would expect every team that they've apologised to, to be submitting their applications for replays starting with Wolves for the Onana challenge earlier this season. Also how far back do we go on this?!
5. Lastly human error on offsides have happened in the past case in point earlier this year February between Crystal Palace vs Brighton. The game ended level but Brighton scored a goal deemed offside because VAR drew the lines on the wrong player! Brighton got the apology and moved on