As things stand, regarding goals (not bookings) the 2 things that happen incorrectly are:
1) An attacking team is given a goal/penalty/attacking free kick when they shouldn't have been
2) A defending team is given a decision that stops the attacking team having the chance to score
Video would allow the first problem to be greatly reduced, and even help with the second problem, because where a ref is caught in 2 minds, he can allow attacks to continue knowing that if the attacking team does gain an advantage, he can always review his decision.
1) An attacking team is given a goal/penalty/attacking free kick when they shouldn't have been
2) A defending team is given a decision that stops the attacking team having the chance to score
Video would allow the first problem to be greatly reduced, and even help with the second problem, because where a ref is caught in 2 minds, he can allow attacks to continue knowing that if the attacking team does gain an advantage, he can always review his decision.