Well I clearly stated that at heart, the chapter is about the right of ministers of the gospel to partake of donations/wages from the congregation (and Paul's abstinence from the practice). Where I come from that's what we call a summary. But perhaps you have an alternate definition

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But yes, I do agree with you that the central theme of the passage is not about advocating for marriage. It merely mentions (as an aside) that it's fine for ministers of the gospel to be married. The only reason I even mentioned verse 5 is because you were taking some mighty big liberties with the interpretation of "lead about". I felt the need to clarify.
Regarding how verse 5 fits into the chapter, I tend to think Paul was saying that it's not just valid to pay his travel expenses, it would also be valid to pay for those of his wife if he had one. That is merely my opinion though, we can ask Paul directly someday

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I actually agree with you on many points about the subject in general, I just think you are taking it too far.