Transmission Cooler/Cooler lines

The way i read that diagram was that the oil pump was pulling oil out of the OIL pan and rotating it threw the cooler and then dump it into the inlet.
This is the routing of the Jones racing pump.
The beauty of his system is it cools directly into the torque converter
and uses the same cooler and fan already on the car. I believe the block relies on check valves and gravity to automatically correctly choose the correct flow route depending on whether the engine is running, or if not, and the electric pump is on.
Most popular transmissions route the cooling directly out from the converter to the cooler. The Jones routing flows in reverse so that the hot oil out is now cool oil in directly to the converter. When the electric pump is turned off, and the engine is restarted, the flow goes in the normal route and the check ball in the block routes the proper flow direction of the oil. Simple but ingenious.
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I don't think that the add-on oil pump is pushing oil back through the converter backwards.
The reason i say that is, that if it was pushing fluid backwards through the converter........then it would be pushing it through the transmissions oil pump, right. and its a gear pump or a positive pressure pump. won't push it through that pump with any volume at all.
I think its pulling it from the pan and running it through the cooler and dumping it back in to the transmission on the return line.
I could be wrong but thats the way i see it.