I like your logic, Seven! One step at a time.......slow and steady always wins the race! I have been using draft inducers this year all over the place. I actually like the effect and I also understand that you can get 3 speed models, and a variable speed control also. For less than $200, you can sleep well, and probably NEVER have an out-fire in the warmer months.
You certainly could wire the inducer to start with the burner/stoker, however a pre-start and post-start timer would be the best for intermittent service IMO.
All the ones I installed are 24/7/365 units.(I was worried about fly ash building up in the blower housing when not turned on) In case no one has seen an install, the inducer mounts in the very bottom of the flue pipe and has an adjustable sliding flap to control the rate of flow. I tried leaving it off for 4 hours, then on, and found that fly ash would blow out the small holes around the inducer. My only thought would be to have a means of blower motor speed control, however even that was tossed around because I knew the motor has a small fan that cools the inducer motor.....and would slower rpms reduce the longevity of the FAN MOTOR. ....no easy answers, so I left them humming at 1720 rpm.......
I sure would love to have one on my hand-fed units, however that defeats the 'no auxiliary power required'.(In marginal draft situations, no need to create a forge out of a coal stove,,,,,) Good luck, and keep the silent majority informed!