You can either drill or take out the flow washer restriction in the MT valve or you can install a WP BD inlet valve, Pt # 358277 and it will really fill fast.
Having this valve in WP BD machines is why they did such a good spray rinsing [ and rinsing overall ], it might cause a MT to water-lock when it is doing s SR however, you would have to experiment.
That WP valve I mentioned when set for warm water fills at a rate of around 9 gallons per minute, almost 3 times faster than the original MT valve.
John L.