One thing to remember here is oil is much thicker than water, requiring more thermal input for desired temperature rise

You may only feel burn sensation with reddened skin if splashed by 220* boiling water

You will be blistered and burned if splashed by 220* hot oil, tho it is not boiling

Oil takes longer to heat - oil retains heat much longer

Winter climes skew thermal input negatively

My commute is 95% highway , I am 5 to 6 KM into my commute on the highway when the transmission warms up enough to shift into top gear.

This one you showed says is thermostatically controlled, it may in fact have some sort of control but it is definitely not user accessible, and because it won't specify the max temperature, I have no clue how hot will it get. One review on Amazon said that in 2 minutes the heat reached 200 degrees with the pad mounted in a thin plate, which is I believe a bit too much to warm the trans oil so hot.

Correct - all things fluid are compared to water weight and density, which is ~8.3lbs\gal and 1.0

Lacquer thinner, tri-chloroethane, tri-chloroethylene, carbon tetrachloride, Methy-ethyl-keytone esters, alcohol, etc are heavier than water all in red are lighter than water
Paint thinner, petroleum naphtha, Diesel fuel, charcoal starter, kerosene, etc, are lighter than water

Water is just as heavy as water??
Motor oil is lighter than water

Water exits a quart bottle rapidly, quickly dripping off
Oil exits a quart bottle slowly, dribbling slowly, then dripping off slowly

Drip water on a surface, return later and there is no evidence of the spill
Drip oil on a surface, return later and the drip is now a large-diameter wet oily circle

Water quickly conducts and removes heat from surrounding surfaces
Oil absorbs heat slowly and retains absorbed heat much longer

Water quick-quenches hot steel
Oil slow-quenches hot steel

Water\ethylene\propylene glycol mix is used as engine coolant because absorbed heat-content is easier removed in the air-over radiator Used because they are miscible, won't freeze at operating temperatures and water has highest heat capacity.
Oil is not used because slowly-absorbed heat content is not easily removed in air-over radiator

Boiling water\steam interface removes much more heat than liquid water ? at what temperature??
Boiling oil vapors are ignite-able, just opposite of required thermal transfer into air

Electric radiator-type space heaters do not use water for heat radiation - heat-loss is rapid
Electric radiator-type space heaters do use oil for heat radiation - heat-loss is slow oil is used because it won't boil & become steam.

Lacquer thinner and MEK depends on the formulation - company I worked for required MEK s.g. to be greater than 1.0 for the ratio to be correct - of what, I don't remember
Please, I am an organic chemist. MEK is Methyl Ethyl Ketone. Single molecule, specific gravity less than 1.0. All lacquer thinners, ketones, etc have a specific gravity less than 1.0 unless they contain a solvent that is halogenated like methylene chloride, Carbon- Tet, PCBTF, etc. Understood - but, whatever the mix in the MEK, if the spec grav was lower than 1.0, it was rejected as being non-functional in one of our manufacturing processes
Also, we used some form of lacquer-thinner for local cleaning of the soldered circuit board assemblies - wasn't quite as cancer-causing as carbon-tet, but was eventually out-lawed by EPA because of difficulty in disposal of any un-evaporated liquids, and it was tested for spec grav of not greater than 1.0

However, as none of those liquids are locally-available in ur friendly hardware store, I'm guessing I should have excluded them from the list - so, in the imortal words of Emily Latella on SNL..........never mind

I understand what you are trying to say in your comments above just that your terminology is poor.
Agreed - seems as tho my ghost-writer has expired in my old age

Also, I do appreciate your input - I like my posted "facts" to be factual..............