Fiction, Why would you bring up EA in a conversation where Gilgamesh even being around is completely unnecessary, when it's not in character or required for him to use it?
Enkidu slams them both at the same time, with or without Gilgamesh. Gil is just going to aurafarm and brag while his gay lover slaughters them.
Learn to escalate, and not jump immediately to "Well this is this character's strongest card"