Cleaning Inlet Valve Screens
The risk of removing them is that if they get even a TINY bit bent they will allow particles to pass around them and clog the bled hole in the valve diaphragm and cause the valve to not shut off and cause a flood. The inlet screens do not have to be perfectly clean to function well, in fact like many filters they work better if partially blocked as they are more likely to catch even smaller particles. The typical inlet screen can easily pass more than 30 gallons of water per minute, but the valve only fills at a rate of 2-10 gallons per minute, so even if the screen is 3/4 blocked it will have no effect on its operation.
I have seen hundreds of washers in my time where the inlet valve was not shutting off and the machine had flooded. And when I go to replace the valve I either see the screen bent, in backwards, or even missing. If you really want to rebuild a faulty valve or if you have one with low flow problems dissemble it and replace the rubber valve diaphragms. When the valve is dissembled it is a good Idea to soak all the parts [ except the electrical parts ] in something like CLR, but I would leave the screens in place while doing this. The only time I remove the screens is if they are already damaged or if they are old brass ones and have corroded holes in them and then I replace them with SS screens.