I'm not sure I understand. Can't you have Chromium browser work with that software? And modified Chromium browser, e.g. Firefox? I don't remember I accept licenses at least as a user.
Any browser could be made from Chromium by sufficient modification.
I mean, if something open source works, anything else open source can also be made to work.
Even if something that works includes binary blobs, you can still modify open source parts while keeping that blob and keeping the system working. So I'm not sure what is the original problem.