Well, the Low Temperature switch is in fact the A/C Cycling Switch.
That wasn't the problem though, after do some more test I found the fuse (#8, 10amp), for the backup lights, in the fuse block on drivers side of dash, to be the problem.
This fuse also powers the "Fused Ignition Switch Output" to the A/C Cycling Switch (Low Temperature Switch, Evaporator Core Probe).
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R.I.P. - 94 Jeep Grand Cherokee Limited 5.2L V8 Quadra-Trac, 3" Budget Boost, K&N FIPK Gen II (Cold Air Intake), FlowMaster American Thunder (Exhaust).
W.T.T.F. - 1998 Jeep Grand Cherokee 5.9 Limited - Deep Slate Pearl - K&N FIPK GEN II (COLD AIR INTAKE), Altezza Tails and Crystal Clear Front end light with HID Kit and NP242 Swap.