Yes they did even from City Hall, all of the programming for the Asian Community for example and the Breakfast Show at one time was double headed with a presenter in Bradford and one in Leeds.
For a while that Bradford based presenter was Jon Hill, who went on to report for Calendar. I don't think I'm making this up but after the breakfast show from Bradford he would co present the lunchtime news from the Halifax studio.
Once the studio at the museum opened it seemed like as many programmes came from there than from Leeds at one point. That may have been while Radio York was getting a refit and were camping out at Leeds.
Funnily enough once Sanjiv Buttoo arrived as Managing Editor they re-established a basic facility in Bradford. Several years earlier he had been based out of City Hall and then the Museum as Asian Affairs Producer and presenter before moving to the Asian Network.
Write that down in your copybook now.