I’m no expert but have some experience and yes, I’d recommend doing everything you can to prevent long term damage. See plenty of vehicles with engines that still run fine but the frame is rusted so badly that it’s literally falling apart.

If you plan to keep it, or for it to have any decent resale value I’d definitely recommend. It’s also a good practice to wash the salt off as often as possible, I can’t remember what exactly but they make something for that?

Anyway yes, in a nutshell, especially for your area I’d absolutely recommend undercoatings, regular undercarriage washing etc!