https://www.cdc.gov/coronavirus/2019-ncov/travelers/pdf/Airline_Testing_Order_Checklist-p.pdf

This is for return to the US, but says “In addition to NAAT, phrases indicating a NAAT† could include, but are not limited to:
• Reverse transcription polymerase chain reaction (RT-PCR)”

In our experience, preapproval and the check at SXM where 100% question free. The checkin agent at PVD was just skimming the computer screen and then looking for bolder works on the test. Our papers were not checked again in CLT where we boarded for SXM.