I recently flew SCL-MIA-DFW (AA issued ticket) and my TSA Precheck information was not on the BPs. I was in a rush and did not notice till I landed in MIA. My Global Entry worked fine at MIA but no precheck. Not sure if it something to do with SCL which seems to be common with OP's post. Next day I flew DFW-LAX on a different ticket and my BP had TSA Precheck.