What you're looking at
Omron E2E-X10MY1 2M is an AC 2-wire inductive proximity switch: unshielded, 10 mm sensing distance, normally open output, standard oscillation frequency, no self-diagnosis. Comes with a 2-meter PVC cable. That's your basic presence detection for ferrous metal targets on a standard AC control circuit.
Drop-in or not? E2KQ-X10ME1
If you're looking at E2KQ-X10ME1 as a second source, stop. That's a capacitive sensor with NPN-NO 3-wire DC output, plastic body, and a different sensing principle. E2E-X10MY1 2M is inductive, AC 2-wire, metal housed. No rewiring path exists between them – different supply voltage, different output wiring, different target material sensitivity.