On the Halcyon with Telekenetic Push...
I tried it tonight. Played Avent against some dude's TEC. Anyway, I scouted him for a while and built up the best fleet I could to take him. He had his grav well ringed with hangers, plus a starbase with hangers, plus a ton of light carriers and lrms. I have learned too many times that I cannot put lf inside a grav well to take out carriers if there are tons of lrms present, so my only other alternative was a ton of carriers myself (with some flak thrown in), and a ton of heavy cruisers.
But here's where it gets interesting. I decided to try all this talk about the "awesome" capships, especially in the role of obtaining air superiority. So I purchased not one but two Halcyons, with the main ability being telekentic push. I actually bought both caps up to level 3, and both caps accompanied my level 6 mothership into his grav well.
Anyway, telekentic push (from two level 3 carriers, both of which leveled to 4 while in his grav well) didn't do jack shit. Nada. Naught. Nil. None. Zero. Zilch. Zippo. Zip. Oh, I saw it push his strikecraft away, but they just came right back after the ability was finished, and they didn't die. I was never able to get air superioity in his well, never. Furthermore, all my sucky caps died - yup, all three. What did I do? Like a fool, I went and built them again, just to make damn well sure that I tested what all these pros keep flapping their gums about - "use a Kortul with jam weapons, use a Kol with flak burst, use a Halcyon with telekenetic push, blah blah blah blah blah!" So built them again, purchased to level 3, sent them in again, same result.
Look, the last thing I want is for some uber-overpowered capship to come into the midst of my 100 carriers, hit one stupid ability, and have all 200 strikecraft of mine bite the dust while he laughs. That would totally suck. But what's with all this gumflapping about the anti-strikecraft abilities of these capships? I tell you this, that will be the last Halcyon with telekenetic push I ever build.
The game ended up minidumping, but if the replay works I would be happy to provide screenshots. Quite amusing, actually, LOL.