An EFUZE can and is (or maybe more appropriately was) used with MK series, JDAM or not. The JDAM kit is for guidance, not fusing. A mk-82/3 can be airburst regardless of the guidance or lack thereof. All that matters is the type of fuse when the bomb is selected, and on more advanced fuses what is selected by the pilot. From the AO TRAMAN:
The Mk 43 Mod 0 target-detecting device (fig.
1-11) is a proximity nose element that gives airburst
capability for electric-fuzed Mk 80 (series) bombs.
The Mk 43 Mod 0 element is compatible with all
electric tail fuzes and is identified by the dark green
color of the nose cone. A thermal battery powers its
internal circuitry. The thermal battery is initiated by
+300 volts dc or by the striker rod.