Yes, because the missile doesn't need to worry about what happens after it gets a positional advantage and goes boom. It wins, game over.

Obviously. A fighter jet has a trust-to-weight ratio of about 1. Even ultra-old air-to-air-missiles whose specs are declassified like the the AIM-9B from the 1950s have a T/W ratio of over 20, and they are much easier to make maneuverable compared to a 30 ton jet that shouldn't break apart or kill its pilot.

Precisely. Your missiles are far lighter, can turn on a dime before firing their rockets, and—most importantly—don’t need to worry about survival after a missed shot.