Earlier quoted context omitted.
It helps to understand how it actually works. The s in its does not point towards possession, it is simply part of the word "its". My, His, Hers, Ours, Yours, Theirs, Its. Not Me's, He's, She's, Us's, Your's, Their's, It's. English is an easy language. Most languages use a lot more words than all that to convey all that. English speakers don't have to deal with the singular second person, with a separate objective no…
I think this doesn't help. What is relevant is that there are two forms: it's and its. Its easy to mix them by non-natives like myself. No-one ever writes She's or Us's, but "It's" is valid as is its. It's easy to deduce that one should not write us's but it's not that easy with it. :)
Bob's going to Bob's house.
(Bob is going to the house Bob owns).
Look, a bear! It's going to its cave.
(Look a bear. It is going to the cave it owns)
"its" is a weird special case.