I don't believe there is a kill switch when oil pressure gets too low. On two occassions, I've lost oil pressure to zero while offroading on freefall declines. Engine never did shutoff.
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'98. 5 Dodge Ram 2500, 24V Cummins, 4x4 QC, 22,000 miles, Driftwood, all leather interior, auto-transmission, 3. 54 gears, K&N filter, Westin chrome nerf bars, Rhino-lined, SS bed rails, and BFG All Terrain 295x75R16s
'93 Jeep Wrangler, 25,000 original miles, 4. 0L, 5 speed AX-15 transmission, Atlas II 4. 1:1 T-case, Tom Woods drive shafts, Warn Extreme coil over suspension, Dana 44 reverse cut front axle, Dana 60 reverse cut rear axle, 4. 56 gears, all disc brakes, 10x15 Bart beadlock wheels, 35x14. 5x15 SSRs, Warn 9500i winch, custom roll cage, custom front and rear bumpers with swing out tire carrier, Currie air compressor with custom rock slider air tanks, dual Optima batteries, auto wheel balancers and much more!
'98 Big Tex,12,000 GVW, 20'x7' tandem wheeled bumper pull trailer