thanks, thats what i done.
upon thinking about the whole thing some more i realize the ignitor is probably doubling as a continuing flame sensor. that is why the coils are in series with it so the resistance must be low when hot and increase when it goes cold and that would diminish voltage across the holding coils to a point where they close.
i agree, no need to overthink, i just like the thinking work.
also, on my coils one read open so that was pretty obvious. the set set me back 15 bucks and ya only got to get as far as whirlpool dryer coils and they are coming off the shelf.