In a no diaphragm scenario, your walls are independent, something we don't want in seismic design, and the purlins may be subjected to some force if they have a fixed connection with wall. The force would come from the out of plane bending and in-plane movement of wall. But the limit state that would govern would be wall failure rather than purlin, so I wont worry about the purlins but care more about providing a diaphragm and ensuring that load path to foundation is satisfactory.
Wall stability is critical here. You could ensure better wall performance by providing continuous plinth band, sill band, lintel band and tie beam on top of wall.
Thanks.