CCW Reciprocity

It’s all over the socials this morning that Trump has promised us CCW reciprocity. IF this somehow manages to pass, I’m curious about the details, specifically do you have to have a permit from your own state? I currently have a non-resident Utah permit, and have my application submitted for LA County. Will my Utah permit now cover all of the USA? Should I not go through the hassle and expense of the LA County permit?