People are talking it up quite a bit, but it's a lot of DP for something that ultimately doesn't have the range or finishing power of a capital ship, especially in AI hands.
This problem isn't an Eagle problem. It's a shared problem between all cruisers. Why bring a Dominator when an Onslaught is a bigger and meaner Dominator ? Or an Eradicator ? Or a Fury when there's the Odyssey ? Etc.
By bringing a cruiser against Ordos (or any fleet, really), you always downgrade the effectiveness of your fleet. Capital ships spam is currently the most effective strategy and I think we all know that.
Nevertheless, Starsector currently doesn't have a hard enough endgame content that justifies not bringing cruisers. You can use cruisers and beat the game without any problem. You will only struggle if you decide to do self-imposed challenges like beating an obscene number of Ordos at the same time.
If so, do you outfit them in a support role and hope that they do enough to justify their cost, or is there a set of weapons that gets their DPS high enough to put down the highly-aggressive Remnant ships before they close in and overwhelm you?
I very much like the Eagle, but I always build them for support (although I do give them enough firepower so that they can kill ennemies). I use 3 HAC for good kinetic DPS and then 1 Ion Beam and 2 Phase Lances. Between ITU, Advanced Optics and an aggressive doctrine or officer, the range mismatch is not a problem imo.
My Eagles rarely die, which is something that I like. With 60 base speed and maneuvering jets, they are mobile enough to not be surrounded by Remnants (it does happen, but it's rare). They do kill Remnants, but it takes time since Phase Lances DPS isn't great. But unlike Eradicators, or Dominators or Furies, I like that I don't have to micromanage them all the time : I can actually focus on my flagship (I pilot my flagship myself).
I tend to deploy between 2 and 3 Eagles (they are my favorite cruiser) depending on the fleet I wanna build. Do note that I always put an aggressive Officer on them with Elite Helmsmanship and Elite Impact Mitigation for maximum speed and maneuverability.
Didn't have any trouble clearing up to 3 stacked Ordos. They clearly didn't kill as much Remnants as my capital ships, but I consider their job to be accomplished : they killed a reasonable amount of Remnants, they didn't die, they captured or re-captured objectives and they kept a good chunk of the Remnants occupied. However, I agree that anything bigger or harder would force to me put the Eagles aside and take instead another capital ship (or a SO Aurora but that thing is overpowered).