No, it doesnt' make sense.
The Lucifer was the only Shivan ship with shielding...we have yet seen. It can bombard planets and make the unhabitable, but it doesn't appear to be designed to wipe out civilizations(supernovae). The Ancients were completely annihilated, which means that the Shivans sent warships and plenties of spacecraft.
Vasudan scientists found the remnants of the Ancient civilization in a planet. Was it bombarded by the Lucifer? We know that the Lucifer is capable reducing everything to shreds. How it is possible that a considerable number of artifacts remained(the Ancients must have been tough)?
The Ancients almost LIVED in subspace. And in subspace, the advantage of using shields disappears. We can't only think of the Lucifer, I mentioned the Dragon and I had my motives.