I can't answer your question, but the first thing you need to find out is if the controllers use thermistors or thermocouples as they are not the same thing and work on an entirely different principle. Did the controllers come with any documentation? The docs should spell out the specs for you. If not, you might try checking online. I know you can download the Johnson Control users manual on their site, at least you can for the A419 digital that I have. Not sure what's available on the Watlow unit.