kevin wrote:

If you put your new 1-amp rated thermostat on, it will draw whatever
current it needs to function. The 1-amp rating is telling you that it
will pull something around 1-amp or less. Probably right around 0.68
amps would be my guess, actually. It is a "minimum power rating",
because it is telling you that your wires had better be able to handle
a minimum of 1-amp...

Learn something new every day around here.

Nick