Even in 1975 the problem cited was corrosion:
https://www.nytimes.com/1975/04/17/archives/transmission-pro...
"The fittings between the cooling unit and the radiator gave no trouble when whale oil was the fluid, but the substitute allowed the fittings to corrode. "
The resulting corrosion allowed mixing of oil and coolant. Causing issues in both, although the transmission is going to be the first to have problems.
I will also point at the idea that the lack of sperm oil caused this is....stupid. The way you avoid this entire problem is by using a device called an oil cooler. It's a separate finned radiator from the coolant radiator. If it leaks you get a little pinhole leak. Then you replace it & topoff the fluid. Automotive manufacturers insist on using combined units because they are being cheap and don't care about the long term practicality of a vehicle. So even if there was some amazing advantage to sperm oil, it neither prevented this specific problem nor did the ban on it cause it.