I think they do.
A Building program duplicates the hammers on the outskirts of the city, and I think the rules say that scouts count as if the icons they're on were on the outskirts of your city. Also hammers on your city-states would count towards the production of your Capital city if it performs a Building program.
Thanks Kevin, but are you sure . The rules say the square the scout is on is ‘considered’ to be in the city outskirts; but still, I can,t build on it, so it’s not actually in my outskirts, and the building program doubles production in my outskirts ..... still not sure 🤔