Sycamore was HELLA depressed at the end of XY. Why a flare member would take over the lab without having control of it....
which means:

Lysandre deffo owned sycamore/lab (duh)
team flare maintained control
sycamore too depressed to function, leaves
flare puts lady in charge
side quest will end up being helping sycamore back to his lab

make my headcanon real plz omg