It'll help idling the stove as it will allow you to maintain a proper draft. What draft inducer did you get? If you've got the AD-1 check my sig for a link on how to adjust it. Generally you'll want the lowest setting to pull around .04"WC as it is from the factory it is set too high on low.
On the draft inducer. Have you had any reliability issues with it? I'm planning to install one to help with keeping my drafting correct as I am changing to a different model coal stove that will be running much lower exhaust temps. I'm a pretty good electrician and have no problems servicing it if it is worth putting in to begin with.
I haven't had any issues with the motor over-heating and shutting off. I've got mine mounted about 2' from the stove though. I've also relocated the switch away from the stove; it's plastic and if heated too much will melt.