It is an interesting question...from my experience weigh stations seem to be for commercial vehicles only. I have driven my RV through 29 states on my little adventure and have been lit up by some weigh station scales saying I must pull in. I don’t. I have never gotten a ticket in the mail or been chased down by a trooper. And they will chase you down, I know by experience.
I used to drive 18 wheelers for a living before I retired and mostly through New York, New Jersey, Pa, and Maryland. Got pulled into many weigh stations to get weighed and sometimes various stages of inspections (there are 3 levels). One time while getting inspected I asked the DOT trooper if Motorhomes were required to pull into the scales when they are open. I said the sign says All Vehicles over 10,000 lbs must enter. He said NO only commercial vehicles, I said but the sign says...he looked at me quite annoyed and before I could finish said “COMMERCIAL ONLY”.
So I don’t worry about scale houses while driving my MH. But everyone has their own comfort level with these things so do what makes you comfortable.