Adjustable Rocker Arm Help....

When you push down on the rockers I am assuming the piston is all the way top of the bore with both valve closed. Mine had play like you are describing but when I pushed down on mine the motor was cold. What I believe is happening is putting pressure on the rocker arms pushes the push rod therefore pushing down on the lifter spring which is normal. Sounds like you are ok to me IF you adjusted them correctly.