That is actually my point. is there another ship in the game that actually does well with Gravitons as party of it's primary armament as opposed to an afterthought support weapon?
Paragon and Sunder
Forget all these DP changes and weapon mounts and stuff - just give 0.95.1a Eagle a hullmod that boosts vent rate by like 50% and make it more aggressive about venting. Maybe match its rotation stats to Falcon. You can back away from it easily, sure, but it will reset its flux before your buddy can move in. Riding the edge of when to vent makes it more fun to fly, too.
I think one of the cooler parts of the Eagle is that with certain builds you can vent flux while still firing by not firing your energies. It's pretty basic and just uses the vanilla mechanics but I think that is something that somewhat sets the Eagle apart.
A lot of people are suggesting custom hullmods for the Eagle but I don't think that would work since vanilla almost never does this. And it is usually only done for niche ships, which it seems the Eagle is not meant to be.
Giving it a large slot just seems like it would become a champion derivative which is a bit boring, although it would have a niche of being better than a Champ at long range.
Changing it to all ballistics or all energies also would take away some of the uniqueness of the Eagle/Falcon I think.
A stat boost would not solve the problem entirely but would be quite welcome I think. Mainly boosting flux dissipation and maneuverability would be helpful I think, and also speed. Because they have manjets as a system their base maneuverability is a bit lacking I feel, especially on the Eagle. Increasing the shield efficiency and reducing flux cap could be interesting, to lean into that quickly venting flux idea I mentioned earlier, while not being built of paper like a high tech ship.
Ultimately I think stat changes don't cut it without giving it ridiculous stats and the other changes all take away from the Eagle/Falcon's identity. I think a better idea would be to change it's system to be something less indecisive. Something like a plasma burn would help them out tremendously, and since Low Tech is also getting the Orion Drive, why not let midline join in on the fun too? I think an omnidirectional plasma burn with some correction to where you face, together with some DP changes could turn them around to be a competitive option. Just look at how the Fury is one of if not the best AI ship because it's plasma burn lets it be decisive.