No, not all green antifreeze is created the same. Most of the standard parts store fare doesn't do well with the high temps of an egr cooler...it breaks down the coolant which in turn gums up the oil cooler, leading to higher oil temps. I use rotella ELC, it's pretty highly rated, but also pretty hard to find, it's pretty new, only about a year old. Some international dealers carry it. There's a rating, and I can't fo the life of mine remember what it is...I'm sure someone will chime in, but whatever that rating is called, it is what it should used in order to not break down. Any coolant with that rating, delvac, or a few others also ranked high. Cat has several standards by which their fuilds are rated, like different benchmarks, to kind of "grade" differences in the coolant. I think it's Cat-EL9 or something like that, but don't quote me, it's 3am now, and I have slept maybe 6 hours in the last 2 days...I've learned you can be far more productive if you just don't sleep...lol. I've been up till 2 am putting my sh!t wagon back together 2 days this week, then going to work at 5, lol. And, wouldn't ya know, after 4 redbulls and 2 cups of coffee to make it through the day, I can't sleep, lol.
Anyway, here's Mitch's link:
Flushing and Cleaning the 6.0
Good info here too:
Replaced oil cooler still difference in temps