I mean, possibly, but the issue was whether or not the lifeless would still be lifeless. If it's still lifeless, then you can't awaken it further; it's "alive." Just giving it more breath might work, but I'm skeptical. Shoving a bunch of breath into a lifeless with no command is like throwing breath into your scarves without a command. Maybe it will give it the oomph it needs to work, but it also might develop a personality.
If it's no longer lifeless (which I think is likely), then the pseudo soul it had would have the same effect as a soul-cast person; awakening them would be easier, maybe working worse since it was less investigated upon simulcasting, but also better because its breaths stick together. You might have a really good chance if you then Forge the soul cast lifeless to never be soul cast, which would be probably very easy. But at that point, it might just be simpler to Essence Mark the lifeless to make them a super soldier in their former life, which, since they're less invested and more stagnant, would be easier.