Yes, but the moment you hide the radial filter pin, that hidden state is retained to next time you visit the radial filter. Your suggestion of using the Always state would make sense (for me) as the default starting condition for the radial filter, meaning once first selected the pin is Shown, but even with Always previously selected the starting state of the filter is the last one used - Hide or Show. So if you Hide the filter pin after your masks are laid down, the filter will always return in a Hide state the next time the radial filter is chosen as the active tool.
Once again, the goal is to glance at the right handed tool palette, see whether the radial filter's mask is currently in a Hide or Show state, so you can toggle that state with a simple H-keystroke. I do now see, with the help you have given me here, that you can see the current state of pin hiding my keeping the toolbar visible. So that is a workaround, I guess, but (for me only) not as succinct as having some sort of visual toggle at the tool panel to convey the Hide vs. Show condition of the toggle.
Thanks for your interest, Slobodan.