There's only one sensor for trans temp...and only one PCM that it reports to. Unless you installed a new trans temp sensor with the scan gauge. The scan gauge and dash gauge get the data from the same PCM, so not sure why the scan gauge would read higher than the dash gauge. Clearly the dash gauge works so I wouldn't automatically assume that the scan gauge is correct and the dash gauge isn't.
It's possible that the scan gauge is reading instant real time temps and the PCM sends rolling average data to the dash gauge. That's how the fuel gauge works....two fuel tanks with two sending units, and the PCM averages the readings and tells the gas gauge how much fuel to indicate is left.