To me, looking at the exposed joists, there is no evidence of any support having ever been present between? How was the tray fixed? Just screwed to the joists or another method?
Most trays require an 18mm board fixed to the joists with wooden brackets, levelled to the top of the joist to give a flat surface. Heres an example of the Marmox instructions but most manufacturers advise the same thing:
http://www.marmox.co.uk/uploads/catalogue_gallery/31/instructions/loweredtojoistlevel.pdf
If it is the case of no support, firstly I'm surprised the customer hasn't gone through it at its thinest point, but also any flex would cause a see-saw effect on the very edge leading to..... well, cracked tiles and
tile joints.
If I'm wrong then I'm bu99ered if I know other than other significant movement from a different cause.