Ecm should be commanding the low speed fan operation, and with most hotwire kits, it turns the fans on high from the get go with ecm control. See if the ECM is commanding fans on, and assuming it is, verify that the fans toggle on/off when told to do so. IF not you might have a bad low speed fan relay or other issue.
I'm fairly certain that my GM service manual lists the closing temp of that switch at 225 degrees. That switch and the a/c switch are the only things that trigger high speed fan to come on at all with stock config. I'm curious as to where you got a sub-200 degree switch for that port that's plug and play, I've been meaning to search for one. I'm building my own hotwire kit for my dual fans that allows high speed/low speed operation similar to stock config, but with a lower temp high speed switch in the intake.