There is really no need to remove that screen all of your cleaning can be done with it in place. If you have access to an air compressor with a small blow gun that is all you need. Soak the internals with warm soapy water, or spray it with carb cleaner, and then hit it with some 60psi air.
That screen is pressed in place and very hard to get back in straight once you have removed it. Another note, if you bend or break it, there is no replacement part available. You would have to take a chance on getting a good one removed from another IACV.....waste of time
The Honda parts micro phish shows an O-Ring seal/gasket and that's all I see. There is no screen part of the O-Ring like the one on the VTEC solenoid.