Either it counts (after 180 mins) or it doesn't. It seems fair to consider having it count after 180 or 210 but not both - I believe most would agree with that.
Team A 2-0 Team B
Team B 3-1 Team A
As soon as Team A score in the 2nd leg they know B need 4 to qualify and no chance of extra-time either. Team A has earned the advantage of a clean sheet at home and scoring a goal in the away leg gives them even more of an advantage - if level scores meant extra-time then the objective (of 4 goals or 3-1 with penalties, say, depending on the altered rules) is more achievable and might make for a more open game.
Alternative: Play extra-time and either count away goals after the further 30 minutes or don't count them at all and go to penalties if it ends all square on aggregate.
Team A 2-1 Team B
Team B 1-0 Team A
Now Team B has only to win 1-0 to qualify whereas if it was 2-1 and 1-0 it would be the away team in the 2nd leg. So, yes, both teams know "the score" but it tends to help one team to know that the rule is tipped slightly in their favour for the 2nd leg.
Trouble is - who decides what is and isn't fair? It's a minefield really. Sometimes it works in your favour and sometimes it doesn't.
Team A 2-0 Team B
Team B 3-1 Team A
As soon as Team A score in the 2nd leg they know B need 4 to qualify and no chance of extra-time either. Team A has earned the advantage of a clean sheet at home and scoring a goal in the away leg gives them even more of an advantage - if level scores meant extra-time then the objective (of 4 goals or 3-1 with penalties, say, depending on the altered rules) is more achievable and might make for a more open game.
Alternative: Play extra-time and either count away goals after the further 30 minutes or don't count them at all and go to penalties if it ends all square on aggregate.
Team A 2-1 Team B
Team B 1-0 Team A
Now Team B has only to win 1-0 to qualify whereas if it was 2-1 and 1-0 it would be the away team in the 2nd leg. So, yes, both teams know "the score" but it tends to help one team to know that the rule is tipped slightly in their favour for the 2nd leg.
Trouble is - who decides what is and isn't fair? It's a minefield really. Sometimes it works in your favour and sometimes it doesn't.