Do you mean your developers are appending values to the request headers of the s.t and s.tl calls themselves? Are you using some sort of custom implementation?
I don't believe this is possible... At least not without getting Adobe Engineering involved... Processing Rules don't have deep functionality to read request headers.
It's possible that this might be something a VISTA rule can do, but getting a VISTA rule configured will be an extra charge, since you need Adobe Engineers to create a custom rule for you. I'm not even sure if this would be possible, you would have to contact Adobe to find out.
Now, if you mean your developers have custom header data on your pages, and you need to capture that in your s.t and s.tl calls, that is different. While only limited Header info is available via JS, your developers could create a middleware to read the custom headers and set those values into a JS object on that page that you can read with Launch.