^ It's generally accepted that you shouldn't stress the driveline until everything is up to temp at which point it's safe to extract all the horses. And there have also been a few posts stating it can take 15 to 20 minutes for engine oil to get to temp (and i
assume diff oil and the auto fluid take a similar time to get to temp). So extracting all the horses with cold fluids is where the issue lies.
As long as people
respect the driveline, then things wont wear out faster, even with cold fluids. But we all know of some people who have little mechanical sympathy and have little patience and let loose too early and jump on the go peddle directly after a cold start. Guess that's why HSV/Holden/GM run the auto through the radiator in all cases since they provide a warranty and it may just give them a little more warranty headroom
I'd guess it's even more important to get up to operating temps as quickly as possible when towing
In any case, I haven't done the engineering/warranty analysis but GM/HSV/Holden are real penny pinchers. If they could save $1 by not routing auto fluid through the radiator, they would but they do in all cases i've seen.
And cooling system corrosion is a result of poor servicing (or dexcool fluids if the USA class action was anything to go by). As you say, it can result in malt milkshakes which is costly. Happily, it is often a highway to new car sales for the manufactures
But as I maintain my vehicles appropriately, miklshakes aren't much of a concern. So I'd want to do a lot of testing to ensure ditching the plumbing through the radiator would not lead to lengthy periods of cold auto fluid on cold start.