You're almost there. Just need to put your finger on the beef your side has with EVO, and consider that many former EVO members are members in Elders. That's more the recent part you're missing. For the clans that historically hate LaF, it's more about a relationship never being repaired than a grudge, but also a response to a perceived bullying of a small tag that historically LaF got away with.

Like if I thought you were this big time hacker/cheater, and you don't tell me otherwise, I'll keep thinking that. If, as a hypothetical, I thought you were an asshole, and we don't see each other for 10 years, it's not a grudge that makes me still think you're an asshole. It may be a bias against you but it's an informed bias. If you're really nice to me though after that decade, I'd probably drop my bias. That's the other missing piece.

I will also point out that 7 out of every 10 of the very most active on our side of the war are former LaF relatively recently. And those folks seem the most keen to kill LaF over failed relationships. Don't know what to do with that, but it is worth pointing out.