I clearly can't speak with authority, but maybe some species that would serve as a preparation for a more endangered one, such as some pika species before trying to keep Ili pika? Or any taxonomically unique species such as hoatzin that could theoretically turn into the new passenger pigeon.
Just to clarify, I was considering just the direct conservation factor in my previous post. Considering education and given the appropriate circumstances, I believe even Least Concern
and widely-kept species can have good reasons