Closet studs are drunk, can I hang my closet system from sheathing?

I’m in desperate need of more closet space, so I decided to install a BOAXEL system from IKEA.

However, the studs in the back closet wall are not centered. That means I cannot hang the vertical railings, which support the entire closet system, in studs.

So my question: Can I hang my closet system from plywood sheathing, which is mounted to the studs?

If this is a good solution, then what do I need to know? What thickness plywood? Do I hang a single sheet or more? What screws will work best?

Thanks so much!