Lincoln has been taught that Inhumans who undergo terrigenesis get their powers to serve some larger social purpose. Yes, a kind of divine will, the way he describes it. Or at the least, a cosmic balance.
Lash, however, isn't JUST Lash. He used to be Andrew. Lash has proven himself to be a killer, but not a mindless one. From Lincoln's standpoint early on, Lash exists as an anti-Hive weapon. But Andrew is a healer. One who was close to Daisy. His priority would absolutely be rescuing her.
Yes, Andrew had permanently become Lash, but in those last moments, when his true "purpose" was to be served, he could either be Lash, the weapon, or Andrew, the healer. Andrew won out. He dies a hero, with just a little evidence that the good man he was before terrigenesis is still in there somewhere. And simultaneously offers up yet another argument that Inhumans are more than their powers, which is precisely what Coulson was trying to convince Talbot of all episode.
Sure, I would have preferred a longer action beat for the Lash v Hive showdown, but thematically it actually works really well. And it leaves the team without any obvious weapon against Hive, just in time for the season finale. Which is predictable, but very much comic style storytelling. Almost all hope has been lost, time for the spandex-brigade to save the day, yes? Or in this case, SHIELD and their Secret Warriors.