If SWAPA and Southwest said, "The Captain can let anyone who is in the CASS on the plane at their discretion", then 100% yes.
The list is there for a reason. I just follow it. You do you. I have to provide for my family and I don't want to risk my job. We have too many opportunities to lose our job every day.

Let me ask you. Do we have the authority to let anyone on as a Captain? I have been in aviation for almost 30 yrs, so I know we did it back then, but how about now? Reference?

I am happy to be corrected if I am wrong.