Originally Posted by Electraglide
...How does this current sensor get rid of all the heat?...
If it gets hot, something is wrong. If you are running also a ground and positive wire from the sense terminal, you could have reversed polarity with respect to the battery/ESC solder pads.
In order to avoid ground loops, I don't run the sense terminal ground and + wires, only the signal wire. Try that! And check polarity on the ESC/battery connections. Flytron has a file showing polarity on the product page.