3 phase resistance calculation

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If compressor have thermal protection in windings, it should protect motor, because with 2 phase, he will overheat.
If compressor have thermal over current relay together with contactor, it should react and protect compressor, because other two phases now draws higher current.
If compressor have electronic (hall type) over current relay together with contactor, it should react immediately at phase drop and protect compressor.

It is often case that one phase fail (acting of fuse etc...), but it is rare case that compressor burns because that phase loss, unless someone has fiddling with protective devices.
Most likely, if for some reasons (work on power transformer or distribution boxes), someone change phase order (rotation direction) scroll compressors is going to rotate in reverse direction than you could get damaged (blocked) compressor. That is is why most (reputable) manufacturers have phase rotation and presence relay when they have scrolls.