Yes thats fine by me but then agin when you have a ship that chew up corvettes like gum not to mention cruisers which would normali be nothing more then a very minor distraction you tend to be a little more carefull about the defensive abilaties of a ship.
I believe that it is quite foolish to risk a ship so valuable like the Hecate in ample caombat activities since no matter how hard you try it will always come unde direct fire form the enemies beam cannons. We have seen that happening time and time again. But instead you would risk something like an upgraded corvette (upgraded=real beam cannons not those sory excuse of a slasher) or even a frigate like the Iceni along with a few wings of fighters/bommbers. I imagine a ship like the Hecate would actualy be out of the sistem where the battle takes place. Holding position just outside of the jump node in a way so as not to come under direct FOF from a shivan capshi exiting the combat area.
Then the Hecate actualy deplys fighters and boombers from outside of the sistem to assist the ship that actualy engage the enemy. Or crate a strong defensive line around a dedicated carrier say 200 spacecraft's capeable with a t least one Orion and at least 2 corvettes and 4 cruisers. Hell you could even bring in a couple of Hecates there instead of the dedicated carier just acieve the same result.
Constant suply of boombers/fighters to aid the capships in taking out the shivan ships.
The Hecate isn't generally deployed to the front lines; but we are talking about a warzone with instant point-to-point travel, so it's scarcely hard to infiltrate even the best defenses. And slapping a Hecate into another system just adds problems in getting fighter, bombers to targets on time - plus, where do you think support ships come from? Scarcely much use calling for rearming when it takes a couple of days to arrive (NB: it's unclear as to the exact time of subspace travel, however FS1 puts the Lucifer, once departed, as taking 40 hours to travel through the Sol-DS jumpnode in realspace time terms given both the perspective of the text and the time length of the last mission)
It's this same reason that you don't have - or rather, don't
see Hecates heavily supported by cruisers, etc. Even if the GTVA has enough ships for it, we're talking a truly vast area of space to cover. If you cluster battlegroups around the lead ship, then you're leaving huge gaps for the enemy to maneuver into, flank you, attack planets, etc. It's like going to the trenches in WW1, building a gigantic pillbox in No Mans Land, and then watching the enemy walk calmly round the side of it into your side of the battlefield.
In any case, this weakness of the Hecate applies to every ship; even this purported uber-cruiser type thing will have - more than a Hecate due to its smaller size and the rediraction of outputtable power to several larger anti-capship weapons - big defensive weaknesses than can be exploited by exactly such an attack.