Hope the contributor finds my Question about your gaskets

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Does the lifter noise you get every now and then mean it's the gaskets leaking?
Can it also be the radiator not cooling the oil good enough?
When I first bought this truck I never had it make the lifter noise.Not knowing for sure what oil to use I just replaced it with Castrol GTX 10/30 because there was a sticker under the hood.
On hot days not every time,but when I started after driving around I would get the noise.I never got it from COLD/First starts just starts after being driven awhile.
I noticed my fan running a little more than usual and open the radiator and WOW It was almost black looking.I flushed the whole system twice.To the point there was all clear water.Also noticed the gasket sealer around the intake is white looking as if this had been done.
I ordered a new radiator and after trying to find how to remove the 4 cooling lines I saw your post.
NOW I'M WORRIED. Any suggestions would be nice.
Oh.170,000 4.3 ltr.