There is value in being wide open to opportunities, but there is no value in being wishy-washy when asking for a referral.
You are imagining every conceivable conversation you could have with someone in a position to help you network for a job, and searching for something that breaks the pattern of "being specific and actionable". Lo and behold, there are cases where "specific and actionable" doesn't fit! For instance, if you're asking for advice about what kinds of roles fit your skills and interests, maybe you don't want to lock the conversation down to a specific title.
But that has nothing to do with asking for referrals.