From what I understand the new bushings will solve that. When I swapped my bearings (only) the movement was smoother but there was still play.
If you can't source the bushings I can sort you out a pair of Atac pedals for cheap, just let me know.
It feels like the play is between cleat and the piece of steel holding the cleat rather than the pedal body and the axle. Don’t think they have adjustable tension, but I’ll have long hard look later today.
Is play simply game over? New cleats didn't solve it for me and bearings seem to be fine.