Well, the ship is still on her shakedown after a full year, this being exceptional enough to frustrate the Chief Engineer. Perhaps there's something seriously wrong with her, and LaForge's pride is speaking when he claims otherwise?
The second King George V class of battleships was fine for the WWII fighting environment. HMS Prince of Wales of that class was not: being new to the game, and originally designed slightly wrong, she was in shambles when sent to challenge the Bismarck. Possibly not thinking "it's better than nothing" would have resulted in the German ship going to the bottom there, rather than the Hood. Likewise, the fleet fighting the Borg could have been better off without a Sovereign and her teething troubles.
We'll never learn if it would also have been better off without Picard. For once, the Cube seemed to be taking a pounding, and the ships swarming it were in no particular distress, or short on reinforcements.
But the Borg were calling Picard. He was consciously aware of that during the battle, but his nightmare at the start of the movie might have been the corresponding subconscious expression. One way to read ST:FC is that the Borg wanted Picard to attend the fight, so that he could be lured to the past, where he and his team would make Cochrane fly, resuting in the birth of the Federation and the introduction of all those delicious assimilables for the 24th century Collective. And letting Picard kill the irrelevant Cube so that he could then chase the all-important Sphere was part of the plan, as was the unusual level of lowering the defenses and blocks on the connection he still had with the Collective.
Timo Saloniemi