Yes, and I will test the BA crediting in a few weeks. I could not find any way to add/change FFnumber on a CZ booking so it is down to check-in managing to do that right.
The number of "partnerships" is low and it seems only cover earning miles, no status no nothing.

And I think CZ even said they will focus on growing alone and only when they are the largest airline in the world (more or less) they will consider alliance/partners.