I by-passed the oil cooler on my 6.2 by using copper tubing to join the two ports the cooler hoses went to..
That was about 8 years ago,it hasn't blown up yet..(but will now that I typed that probably

)...
Point is I have seen many "deleted" on cars and trucks and nothing happened..if your not towing or working the truck hard,or drive thru death valley daily, you don't really need an oil cooler ..
When I learned a local cranberry bog's fleet of old 1 ton dumps with 6.2's had their oil coolers by-passed and they still hauled 2+ tons of berries 50 miles up the highway several days a week in picking season,I figured my daily driver pickup didn't really need one ..
The mechanic I know who maintains the fleet told me he deleted them "10 years ago I think" when one leaked into the radiator and trashed the engine,his boss said "We'd better check ALL the trucks--several had the cooler hoses crimp collar look great on the side facing you,but the crimped collar in the side facing the block you cant see,were almost completely rotted ,enough to let the hose blow off the coupling..

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He had him delete them all...but he just put pipe plugs in the block!--I was told to join the ports together (like the cooler was still plumbed up)..but their trucks ran just the same..there is a by-pass valve in the block that opens so the engine wont starve for oil should the cooler plug up,but the pressure is reduced some..
The cooler hoses on my 6.2 had aluminum crimp collars and they were just as I described too!..

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I trust the copper tubing more than GM's crappy hoses...I made a pigtail coil in the tubing ,I figured it might cool some and help absorb vibrations..driven it 10,000 miles with no leaks..not saying this is the best or right "fix" but it works for me and the fleet of berry hauling trucks..