Well, no. That's not the only thing that matters, by a long shot (and that's also really not an appropriate assertion in the Anglican forum). Making sure that the marriage is valid and legal (under both canon and civil law) matters a very great deal.
To be clear (fwiw), in the western Christian tradition of marriage (in which Anglicanism stands) the celebrant is typically doing two things; witnessing the marriage and invoking God's blessing on the couple. It's this second aspect which means some churches limit who may be the celebrant (for example, there's some tension within Anglcanism around whether deacons may, or whether they must use an alternate form of wording at the blessing).
