The Puck newsletter didn't say that the studios passed on this concert film, it only said that Team Swift was not content with their offers. The studios probably all offered her a streaming-only release (as is typical with concert films these days), with perhaps a limited theatrical release at best, but evidently Swift aimed for something bigger.
The biggest theatrical concert films are all from 10+ years ago, so the studios were likely hesitant to give her a full theatrical push.