The fingerpint unlock doesn't need more than 0.3s to be processed but the screen wake-up needs a longer time. You can try to wake up your phone first with the power button, then use the fingerprint sensor. Later updates might make the screen wake-up faster.
Maybe you have a conflicting MAC address: another wifi router has the same MAC address as your Z1 Pro. Do you have other routers working in the same area? If yes, try to check your wifi hotspot at another place.