Wrong, A just does not need her and does not want her

But A does not have excuse to have her kicked out, he just needs to wait and see how he can get this game over -- in a way very best in his interest. LZ has given A the bullets and opportunity to do that: A can just tell HR that LZ is not subordinate to him, cannot follow his order and decipline, so she has to leave (simply by eliminating her salary from the budget, easy thing).