There about as many configurations as there are motor builders. Maybe more so, for over the years improvements and other changes will have been made. Some for materials, some for cost, some just because. If I sat down and took the motor apart, I could judge the operational condition. But just looking at a few photos, I can't accurately judge whether the contact is functional or not. It isn't burned, that's a good sign. Any more, I couldn't say one way or the other. The back of the motor frame is open to free air. With a pointer, wood is the preference, move the flyweight, what little it moves. If the contacts open and close when it moves a "few" times, it's probably alright. As long as the wiring doesn't foul the switch and is not grounded, it too is OK.
Many motors have the contacts mounted in the "end bell" with the flyweight mounted on the shaft. It is difficult at best to reassemble such and even more so to test. Then there are the TEFC motors, which are simply best left alone, even if they are intermittent. Whether to run the motor is your call, the repair cannot be done remotely. It isn't like a computer. . .
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