The spacetime continuum (LOL) thought that because we missed the 2 the first time proves that we would have missed it the second is above my pay grade. I don't how we could prove or disprove that theory.
I don't think anyone thinks that.
The situation where you make it, whether first or second, isn't really at issue here. That is the ideal result. So we are only comparing the situation where you miss early vs the situation where you miss late.
If you miss early you have more information. That's it. You now know you need another possession. But now you can plan the rest of the game with that in mind, it likely affects your plans on both offense and defense.
If you miss late, you didn't get that information until late. You now know you need another possession, but maybe now it's too late to do anything about it. If you miss with 12 seconds left like last week the game is over. Maybe you would have played the past few minutes a little differently if you knew you were going to miss. For example, maybe you wasted time intentionally scoring late to get the last possession and not allow the other team an extra possession. You wouldn't have done that if you knew you missed.
I would rather have a chance to change the outcome by changing my plans if I know I need another possession. More information is better. If you fail with a minute left there's not a lot you can do. If you fail with 9 minutes left you can hurry up, you can play defense differently, etc.
Neither situation is good, neither is a likely win. But more information is better.