Since the 2 spade lugs power a very small electric heater strip inside the valve,
with the heater causing a metal strip to expand and “pull” a needle valve more open
I have wondered if you could use a variable temp heat gun
aimed at the top of the valve between the spade lugs
to warm it enough to let R-22 flow some
and keep the “freeze protection circuit” from triggering from too little freon flow.

But it would be better to just change the valve.

If the valve were open too much liquid droplets of R-22 might get into the compressor,
and do damage like liquid coolant can do to an IC engine piston top.

On the other “working unit” you have
you might measure the temperature of the metal below the spade lugs
when working
and then “dead cold” after the working unit has been off one hour.