Hi Mike,
If you are using falling edge instead of rising one you will just configure WKUP.WIFEER register instead of WKUP.WIREER register.
The difference is that you can wakeup the MCU from STANDBY only via wakeup event; means edges on external wake-up pins, a reset, or from a periodic wake-up using a low-power oscillator. (see Table 12-1. Wakeup vector mapping of the device RM).
In addition to this the MCU can be waken up via peripheral interrupt from STOP mode.
This is also described in the AN4240 on several chapters; 9., 10.3, 10.4
Regards,
Petr