Unpopular opinion or not: Jack believed in the effect of the button and Locke, even a bit in S2E3: Orientation

About the famous ending scene in Orientation , I have seen many discussions on this sub and podcasts which suggest that Jack pushed the button to only shut Locke up, he dgaf and he was in complete denial etc.. I also remember someone getting downvoted to hell for suggesting that he was actually breaking down on that scene. So I think this might be an unpopular opinion in that regard.

Anyway, I always thought people forget or completely ignore that Jack came back to tell the right number before the whole discussion. If he didn’t care, why does he come back to say the right number? Why not let them press the wrong number? I have not seen many people consider this at all and the talks are like he was there by coincidence. He came and told the right number, when they were pressing wrong. I think that’s a big point that is extremely underrated.

And my second point is just the facial expression of the actor when Locke tells him "I don’t wanna do this alone" For me, Jack's face says that he is very moved and intrigued by this. Maybe it’s Locke's flashy and impressive presence that overshadows this for people but if you see it from both sides, Jack is very touched and intrigued. He is not like "idgaf but let me just push it and shut up the old man " . He really gives a touched impression there, imho.

So just the way he came to correct the numbers and his facial expression tells me that he was doing it for more. I have Seen a lot of people rather simplify his action (like they usually do) so wanted to write my take on it.

I'm not gonna go on about how Jack always had a "man of faith " in him, the way he didn’t give up on people with helpless situations like Charlie, Sarah and had faith on their recovery when science suggests the opposite .. A lot can be said about that, and it’s very related to this scene but then it looks like a complete Jack defense and triggers or bores people lol. But I rather challenge people to see his motivation there not so simple, in a classic way they do .