I was only referring to how to check in so as to get PreCheck and PreCheck screening for US-origin flights (domestic and international) when the passport/ID doesn’t “match” the ticket booking’s name with regard to all the relevant characters in the names and/or name order. An automatic scan of an ID by the TSA or by the airline can mean a slow down in such cases even when a PreCheck boarding pass is already in hand. But as any US-issued ID works to get PreCheck, present to the airline and/or TSA whichever ID works easiest to deal with the airline and TSA in the US for getting a PreCheck boarding pass and PreCheck screening at the TSA screening checkpoint.

There are many US-only citizens where the name on the US passports are different — or even in reverse order — than on state-issued ID and on the Social Security Admin records. [Our passport applications ask about what other names have been used by a passport applicant, even as the SSN is required on the applications too if having a SSN.]. They may pick whichever valid ID they think makes life easier for them given their priorities. In some cases the priority is what is easier with regard to PreCheck; but in others it’s to make getting the FFP benefits flow easiest. If they choose the latter, there is a greater risk of more inconvenience than if choosing the former. You’re in sort of the same boat as these US-only citizens with PreCheck name-matching issues.