Synthetic ATF definitely runs 15-25 degrees cooler temps with at least 2-3 fewer changeouts (with up to 85k-100k miles fluid life)and with an inline external cooler, you'll do even better. Heat/fluid oxidation kills about 90% of all tranny failures as the primary cause. There is an algorhythym in the world of tranny cooler makers that says that for every 20 degree rise in ATF temperature above the ideal 195-200deg. that fluid life is cut in half (referring to petroleum based).
Anecdotal Storytime: I have an old driving-to-work beater Mercury Sable 3L v6 with the infamous Ford FWD AXOD-E tranny that is lucky to go 60k if that before a major failure. Bought it with 65k miles on a rebuilt tranny, changed out the fluid at 90k with dino ATF, had a catastrophic failure at 99k in the hills of W.VA., after leaving $2400 lighter,and 32 miles later at the edge of the interstate, another major failure on the new AAMCO rebuild, then on my way with a rental. Within a month I spliced in a huge inline cooler which the AAMCO rebuilders informed me that would be a waste of my money and as well a waste of my money according to them, to use synthetic ATF (Amsoil)which I switched to at 160k miles. The tranny was already shifting harshly at this time. The new syn fluid greatly helped the slam bang up-shifting to only ocassionally under hard acceleration. A few years later when I discovered Auto-RX and added 4oz. to the this tranny ,the slip shifts have all disappeared in under 500 miles; the car/tranny now has 253,400 miles and is still slap happy.
I recently switched our 98 Volvo automatic, which has harsher shifts than I like, to Mobil-1 ATF, but no real improvement here other than running cooler and finally getting rid of the extremely oxidized dino atf from the previous owner. I will probably go back to using Amsoil syn ATF here as well.
Accordng to Amsoil's own literature, Action News Jan 04, there is a writeup about their ATF that says it exceeds General Motors and Fords newest Dexron-III requirements to resist oxidation by a factor of 2-3 times. It is a High Temperature ATF Fluid Life Test: GM's THOT and Ford's ABOT measuring TAN increase which requires passing a minimum 450 hr. stress test before significant oxidation and breakdown of useful properties becomes obvious. Amsoil apparently went 900+ hrs.in the oxidation tests. Amsoil quoted GM Transmission Fluid Group Leader, Roy Fewkes, as saying many of the present day ATF fluids will have difficulty meeting the new GM factory fill specs and that the increased quality standards for DEXRON-III specs are driving the fluid formulations away from Group I towards Group II base stocks. It's something to keep in mind for your new Suburban if you are going to keep it a long time. Run your factory semi-syn ATF in the Suburban until the mileage that your owners manual says to get a tranny refill; then change over to full synthetic at that time, IMO.