So much this. Even "Type" (which is basically what "race" means) or "People" would be better. Lineage is something personal, or rather familial. It's not something you share with even your own people.
Well in the case of fantasy races that literally descend from one god or person it might have relevancy. But even then they have to change their names to adjective forms or I'd still complain.
Shadow of the Demon Lord uses "Ancestry" which is dumb for the same reason but slightly less so than "Lineage". Words I can think of off the top of my head that I would prefer would be maybe "Kin/Ken" or "Folk".
Amen! Let us submit to the supremacy of those who advocate for people to be perpetually offended, and takes it upon themselves to change language so snowflakes are forever sheltered...angry and infantilized.
The use of "race" is a misnomer anyway, SPECIES is the correct term. Similarly, "subrace" should simply be race. But who cares when new-speak gives power?