As of Update #6; the "No One Left Behind" inspiration is not being awarded to Lae'zel after making sure Aradin, Remira and Barth survive the Grove's introductory battle.

*As can be seen all three are alive in the Grove, but no inspiration is being awarded after the battle*
[Linked Image from i.imgur.com]

[Linked Image from bg3.wiki] Minthara's Compendium Of Issues