Since the switch is reading just one ohm when cold, it looks to me like it's ok. (I would have expected 0 ohms though. Your meter might be suspect with the numbers jumping around when the probes are touched together). I would heat the switch up on the stove or with a match and see if the resistance goes very high. Open on rise is definitely not a fail-safe method to test for proof of fire! Not much you can do about it, though.
Nope the 1 is off the scale as in open and it is incorrect in this case for a cold switch, open on rise switch.