Make it so teambuilder shows their summoner name along with the character when you Accept/Decline.
The name of a player is often something to look at to determine if you want them on a team with you. It'd be more convenient for the players who get declined, so they don't have to end up in a game, then get kicked, and it's more convenient for captains so they can set up their teams better.
Would you like xXSn1perk1d93214xX on your team? Probably not.