@Sancturil i think you're getting ahead of yourself.
why would miko need to invoke a magic circle to get the inari to show up? she was already in contract with them, and it looks more likely to me that they show up when they deem it necessary to save her.
the only one who sees the magic circle or the barrier is someone who routinely misreads the situation. literally, in this chapter alone she imagines Miko performing an exorcism, which again we know she didnt do. this same person mishears what miko says in her first appearance as miko threatening to kill her. are you honestly telling me that this person who clearly cannot tell imagination from reality is somehow a credible point of view when she imagines miko doing something we know she isnt doing and the effects of which are never made apparant?
you can make assumptions about what brought the inari here and how three claps totally made a magic circle that summoned them, but its still just an assumption on what is not nearly enough information to say for certain. i would have to ask first why we're assuming the inari's blessing would either be manually invoked by someone with no knowledge about it, or why it seemingly had no effect. then we'd have to ask if the inari would have shown up without it. if not, then inari basically reneged on the promise they made to save her 3 times, because she'd be dead, and would never need saving again.
meanwhile what we can say for certain is that the only person who saw a magic circle (and more specifically made note of the barrier, not the magic circle) is someone we already know isnt a trustworthy point of view.