Stepper wiring question

What happens if instead of (-) (+) (-) (+) I accidentally wire one up as (+) (-) (-) (+)?

Will the motor make a noise while not working? Be damaged?

I’m a complex tedious build, and my concern is not that I will get one wired 4321 instead of 1234 – my concern is that I might accidentally get one wired up as 12 43 , or 21 34.

The motor will work, but it might spin in the opposite direction.

If the motor is supposed to be wired 1234, then this will work and spin in the same direction:
2143
3421
4312

This will work and spin in the opposite direction:
4321
3412
2134
1243
all of these can be remedied by flipping the connector, which produces one of the above configurations:
1234, 2143, 4312, 3421

The following connections will not work. (Won’t damage the motor, and probably won’t damage the controller, might do nothing (as if unplugged) or might make noise and vibrate.)
1324, 1342, 1423, 1432, 2314, 2341, 2413, 2431,
3124, 3142, 3214, 3241, 4123, 4132, 4213, 4231.

Reversing one of the phases (e.g. 2134) makes the motor spin in the opposite direction.
Swapping the phases (e.g. 3412) makes the motor spin in the opposite direction.
Flipping the connector effectively reverses the direction three times (reversing each phase and swapping them) so flipping the connector has the net effect of reversing the direction of the motor.

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Thank you so much! Helpful info!