Need to double check that ohm reading. Because if that 1 ohm is accurate that clutch is pulling 12 amp. Resistance should be in the 2.3-3.3 ohm range. Normal clutches pull 2.5-5 amp normally with some closer to 6 amp which would be a mininum of 2 ohm resistance.
It never fails.
People think that 12V on a meter equals "power", but they have no concept of the amperage required to hold the clutch plate engaged. If a .5 Amp simple test light works does that mean everything is good. I think not!
Voltage is just expected potential.
Amperage is the actual (power) work. It requires an Amp clamp to measure, which most people don't own.
Resistance exists to challenge the system to work by creating a load to "excite it to work".
Sounds too simple, but it is honest.
Low wiring resistance in a clutch winding (2-5 Ohms) is normally the potential to apply the work according to how it is wound and insulated. Too low or zero means an open in the windings. Very high resistance usually means a meltdown of the field wiring shellac insulation coating.
Ohms law and Kirchhof's law is the most unlearned among many in the repair industry. That is why engineers are running most people in circles these days. I see it in the automotive industry as well.