Aside from the stuff being mentioned, I think that Byrne isn't that much of a moron. Without the logistics he maintained, the UEF would be already frakked. And he also proved to have some tactical sense. I mean....a simple artillery strike on the Hood would've been a bit difficult due toe AWACSsiness but heck, it would have saved a lot of lives and the Toutatis would have been (high likely) used near Neptune instead of that banzai against the Hood.
Well, the result could be both the Eris and the Toutatis being damaged. But heck, the tev-casualities would be terrible with two Solaris-destroyers around. Maybe they could have managed to destroy the Atreus and Steele, therefore preventing the destruction of the Wargods and this farce of a negotiation with the vasudans.
But that is all speculation.
But like TVtropes said:"At first glance, he's The Fool. She's The Ditz. And no, it's not Obfuscating Stupidity — they're really like that. Most of the time. "
Now that the 3rd Fleet has taken even more casualities, and the 2nd fleet losing a lot of stuff too, the 1st Fleet could and will move further into the foreground. Hopefully, that secret project will give them one hell of a power boost.
1st Fleet also has Manuel Brie.