Knowing Zanma-sensei, this suddenly appearing shrine will turn into a plot point some time in the future... but not yet. Next up: Mugi-chan overeats, then the obligatory diet/exercise chapter.
There are a couple manga like that, like https://mangadex.org/title/33a6d4d2-0729-4776-b66c-78ccea53f16e (The Four Gods Who Will Really Debut as VTubers in 100 Days) and the Confucious one already mentioned. I'm sure there are more! And yeah, in FoxWife world that would be an excellent strategy.