We don’t know for sure, but looking that they let Miranda Lambert put out TWOTW upon re signing back in 2016, which was far right field from any album she’s ever released, even more so than Cry Pretty for CU makes me believe they would. Also, Randy Goodman’s statement about Carrie leaving, stating “they tried everything they could to get her to stay” makes me believe they would as well. I’ll try not to derail this thread any more though.
"...everything they could do...", might not be everything Carrie thought they could do. Just because they said it was everything they could do, doesn't mean it was.