Sounds like your transmission is good as long as it reacts the same when cold.
The pressures come from a pump mount on or in the converter. It draws oil from the trans sump, sends it to a regulator and back to the transmission selector valve. Oil that the main pressure system does not need goes to the converter.
Problem is, it has been sooooo long ago that I can't remember the layout of the converter assemble for sure on the H60B. Hough used that transmission in a lot of different models but I don't think the converters were all the same on different models. There is going to be a main pressure regulator mounted some where and a converter regulator some where but I can't remember where. Your problem may be related to converter pressure when cold.
Could you post a picture of the back of the converter and a picture of the converter side of the transmission? This may jog my memory.
Otherwise, as another poster stated, mechanical failures of a converter generally don't come and go and problems are usually when hot not cold.
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