Yeah, you can rewire them to do that and many folks do; it'* just factory standard to have them switch off when high beams on, mainly because foglights are short-range, wide-angle beams, and high beams are long-range, narrow-angle. It'* not unique to Pontiac or GM; I think most cars with fog lights are wired that way.

When your high beams come on, the proper accessory lighting to go with those would be driving lights, which are the opposite of foglights: they project a long-range pencil beam that outshines the factory high beams. Somewhere in my basement I have a nice pair of Cibié Series 95 driving lights from around 1980. Big rectangular things around 8" wide that could reflect a stop sign a mile away. Har!

Come to Louisiana-when there is alot of fog all the time. We just tailgate the guy in front and drive like hell! Saves all the work to try to fix your fog lights. Keep it simple!