Note our cheap goodhire background checks scan an approximately 5 page list of courts. We are required to do this by various certifications such as soc2, etc.
I would carefully think through bringing it up with the hiring manager. First, because if I were the hiring manager, I'd be much happier if a candidate told me. That way I can think through if this matters for the position or not, and be in a better position to handle internal messaging. The second benefit is it allows OP to control the messaging (I was young / I am an animal rights activist and potential future employer doesn't do animal experimentation / I've changed, etc). If OP doesn't proactively bring it up, OP's future is being decided in a discussion between HR and the hiring manager with zero input from OP.