The seeking is the ignorance itself. LoL.
I'm not sure that identifying the state of active search with the state of ignorance is logically correct.
Although it would surely be correct to say that sometimes there is a cause-effect relationship between seeking and ignorance, so the twain are linked. Even though absolute ignorance sometimes finds no need of seeking truth.
I would say that seeking, in any form, is nothing but the ignorance of a craving mind. A person may be seeking truth instead of money, and this desire may eventually eat itself, but it is still the thorn of desire for something yet to come. A lot of people surely have no interest in spiritual topics or capital 'T' truth but you'll find that they are looking for something in love, money, sex, or some other avenue. Quite simply, those who are truly not seeking anything find Samadhi is already there. It seems to rest underneath all of our desires and mental impressions, like a substratum.