Multisite theme question

I’m thinking of using multisite to manage a site that will have several different areas/topics, but may have overlapping categories. So I’d like each section to have its own set of categories, which could similar to other sections.

But I want to use just one theme throughout the various subdirectory sites. I have multisite set up and installed the theme I want to use in the network admin area. I can see the editor and the various files/stylesheet. But the theme I’m using has an extensive theme control panel. That does not show up in the network area.

Does this mean I have to make the theme panel changes for each site on the network?

The site is in a protected directory for now during development, but I can allow access for admins here.