Hello Nathan,
I'm sorry for the delay.
The LPSPI VLPR specification applies to VLPS as well.
We can't guarantee proper functionality of the module at higher bit rates.
S32K1xx Datasheet, rev.13

DMA wake-up operation is explained in details in the RM, rev12.1 Section 39.4.3.
You can verify the MCU is in VLPS by measuring the VDD consumption and BUS_CLK on an CLKOUT pin.
Regards,
Daniel