Seconding the "it's a gameplay convention that you have to defeat the respective Primal before gaining the ability to challenge their Egi" call. For that matter, most people tend to overlook the "exclusive" nature of promoted jobs for the sake of RPing a character with the combat role but not necessarily the narrative role- a Scholar doesn't have to be someone who's revived the lost arts of healing from Nym in RP, after all. So in the case of a Summoner, it's entirely reasonable to assume that they did the ritual to bind an Egi without having stared down Ifrit/Titan/Garuda personally.
There's, uh. Also a secondary way to gaining an Egi to summon that comes up in the level 50 quest for Summoner, but I don't really want to spoil it for you.
There's, uh. Also a secondary way to gaining an Egi to summon that comes up in the level 50 quest for Summoner, but I don't really want to spoil it for you.