A crystal vibrates with <10uW of energy. ,exceeding 50uW will damage it. Being a piezo effect device, make it sensitive to stray capacitance, C coupled noise and perhaps long tracks can be senistive to current pulses with H field noise.
But not DC E Fields or H fields. The crystal is not magnetically sensitive, only vibrationally and thermally sensitive at,its resonant points.
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Magneto-Piezo electric effects are found in exotic materials like Cr2O3 not quartz.