FLL Car Rental - Access From Terminals

Could you tell me if I have this correct. We arrive at FLL tomorrow via Jetblue and I believe JB uses terminal #3 which means we have to take the shuttle to the onsite car rental area.

Our family arrives via Southwest which I think uses terminal #1. If that is correct they can simply walk across the pedestrian bridge connecting Terminal #1 and the car rental.

Thanks

It's correct for Southwest. I've never flown Jet Blue.