Thanks for clarifying the default value of Show/Don't Show as "Don't Show".
To reiterate, though, a new item on my desktop created under "Don't Show" can be toggled while a similar item created under "Show" CANNOT be toggled...is stuck at "Show".
However, if I then check "Hide Extension" in Get Info the extension can thereafter be toggled until I uncheck it when it reverts to non-toggleable.
The new Great Equalizer is the SEND button.
In Memory of Harv: Those who can make you believe absurdities can make you commit atrocities. ~Voltaire