remember the D350 can be up to 20 years old, and has likely lost some of its strech and are prone to split from the corners around the switch. I try to remove them with a motion that will also loosen rather than tighten the screw down diaphram cover (pull on hose side first by sticking my thumb in the exhuast) then rock back and forth until it is off.
I take it it's to prevent over-tightening the diaphragm cover and cracking it as DA Aqua warned? This seems to be what happened to mine erlier this week. Just as as the tech was removing the rubber cover, it suddenly broke free from the body along with the diaphragm cover stil inside. After pullung the diaphragm cover out, it was cracked. Not sure tho really if it cracked from the overtightening or from the removal inside the rubber cover through its small opening.
Isn't there also a possibility of loosening the spoked cover enough that it wold just slip off the body just as mine did? From finger-tight, how many turns does it take to loosen and remove the screw down diaphragm cover from the body, anyway?