What, so now you're trying to split hairs over the regulatory differences between the US and Europe to attempt to distract from the fact that you still haven't addressed making the following demonstrably false statements?

• Your notion that automatic transmissions "need" active cooling that they "don't" have when in fact they do, and
• Your claim that torque converters "can't" be locked during acceleration when they provably regularly are, and
• Your claim that your engine "will stall" if the transmission can't "slip" even while the vehicle is already in motion. (Hint: Get your car rolling, don't touch the clutch, and take your foot off the accelerator pedal. Did it stall instantly? Did it stall when you got back on the accelerator, either? Of course it didn't, because inertia is a process that exists.)
• Bonus points for blathering about "trying to slip the lock of the converter," which also makes no sense because that's not how torque converter lockups work nor attempt to work, nor has anyone proposed they work that way.

For the benefit of anyone else reading this, the difference in rated tow capacities between US spec and Euro spec vehicles is, as you have almost correctly observed, down to regulations and the trailer designs and not the tow vehicles themselves. There is no difference between the cars or their transmissions mechanically (nor the laws of physics -- anywhere on the planet, I guarantee it). European regulations have two critical differences between the US, to wit:

1. Vehicles towing trailers are typically limited to ~60 MPH or the equivalent, whereas in the US they are not (at least outside of some specific state laws).
2. Tongue weight requirements are significantly lower, because nobody owns a body-on-frame truck which is necessary to support a high tongue weight.

This is because it is dangerous to tow a low tongue weight trailer at high speed. America has no such speed or tongue weight restriction, and we also have interstates with 85 MPH speed limits. Thus our target tongue weight is roughly 15% of the total load, largely in order to keep the trailer under control at speed and prevent it from snaking all over the place and rolling itself and the vehicle. All other things being equal this ultimately winds up in the tongue weight being the limiting factor for most unibody vehicles. If your tongue weight is limited at e.g. 200 pounds, which it is for my bog standard Subaru Crosstrek, solving for the estimated tow capacity assuming 15% of it is 200 lbs would be roughly 1333 lbs. What's the US spec rated tow capacity of a Crosstrek? Oh wow, it's 1500 pounds. Imagine that. (For both the manual and automatic/CVT versions, by the way.)

FYI, we also have trailer brakes over here, and many states require them to be used on loads exceeding 3000 pounds. Below that, the trucks most people use have adequate mass and braking capacity to handle towing trailer loads in and of themselves. It turns out, the actual reason Americans tow with trucks is because Americans tow with trucks, and our towing regulations and trailers are designed around the expectation of towing with trucks. It's a just a cultural thing. No need to try to make it complicated nor make up fictitious bullshit about automatic transmissions.

But none of this has anything to do with your original assertions re: automatic vs. manual transmissions. I'm not arguing any other points with you.

As a matter of fact, I'm not arguing any more points with you at all. You have no idea how cars work. Go away.