Good exegesis demands that you read 1 Cor as the Corinthians would have read it. The four Gospels had not yet been written. It's not likely that Paul expected the newly planted church in the middle of Greece to read 1 Cor 7 with Matthew 5 and 19 in mind — when they wouldn't be written for decades yet to come. He wasn't presenting them a puzzle to solve; he expected them to read the chapter and understand it as written.

And since I figure Paul is a better interpreter of Jesus than anyone who has come along since Paul, Paul's interpretation must be right. Therefore, any other interpretation is wrong — and I offer some reasons for that elsewhere in the book.