Depends on the individual and the age bracket you are in. If you are mature enough to make the decision yourself, go ahead and do it yourself. If you tend to make irrational and emotional decision then its best to leave it upto the parents to decide for you. Also if you and your parents are on the same page, there won’t be any conflict so, either option can work fine.
They are not mutually exclusive.
From what I’ve observed, you end up ‘settling’ with ‘the one’ as well.