Secure Flight is an expensive joke - but it's not there to make anything more secure, it's there to undo some of the havoc caused by the completely botched and mismanaged watch/no-fly list which of course doesn't actually contain the names of any known terrorists

Think of it as a Jedi mind trick you're playing on the TSA - by registering, you're basically saying "I'm not the Bob Smith you're looking for. Move along"

So - this generally means that you should register if you have NFL/watch list issues as it will help you - otherwise, either don't bother registering or you can put in phony data if you choose to. Just hope the phony data doesn't accidently match someone ON the NFL

The name is a silly marketing spin - make it appear to 'secure' or improve aviation security so it encourages compliance. TSA nonsense at its best (worst).

The name match (ID to BP) could be an issue under the following circumstances (depending on the Smurf in question), as it pertains to the OP:

Name on ID: Robert T Jones
Name on BP: Thomas Jones (bad)
Name on BP: R Thomas Jones (not so bad, but could still be a problem)