Yup, it doesn't matter if the details are different or the same, it's how it makes your W feels, not what is more likely to be the outcome of it.
And let's be real, even though you take pride in another man finding your W attractive, I am sure taking a real interest in her is not fine with you. Her going back alone and conversing and joking with this man when you aren't there while he sends out the vibe that he is interested? You would be FAR from ok with that and wouldn't want her to go back.
No need to throw the logics and semantics around it. A bartender is interested in you, your W is uncomfortable with it, you simply stop going and find a new hang out. Ask your buddies you to meet you there.
You've come so far, it would be foolish to throw it away over a bar.
