My favorite interviewing question as an IC was "Tell me about someone on your team you admire". It let me learn about what people valued based on why people were admired, and gave some depth-of-bench sense whether there were lots of distinct names, or if everyone was in awe of the one good person on the team.
If you're looking for cross-team health, maybe you could adapt it to "Tell me about someone on the other team that you admire?"
If you're looking for cross-team health, maybe you could adapt it to "Tell me about someone on the other team that you admire?"