I can't answer your question properly, in part because I am not BERI. I'll just share some of my thoughts that seems relevant for this question:
I would call it an x-risk org and not an EA-aligned org in its work, though I expect its staff all care about EA more broadly.
Why do you care? Can't this be cached out into what you can actually expect of the org?
Effective altruism exists at the intersection of other social and intellectual movements, and communities. Some but not all of the organizations part of these communities focused on various focus areas of EA, such as existential risk reduction, identify as part of effective altruism as a movement. Such organizations are typically labeled as "EA-aligned organizations."