Well, in the very first comment, what do we see from duj?
We know Snape is generally protective of his students and dedicated to their education and welfare.
I swear, it's like they have a catechism and they all recite this thing like an article of faith. Don't think I need to tell y'all I laughed at this notion he gives more than the bare minimum of a damn about any non-Slytherin student. Newsflash, Snapedomers: Snape only protects Harry et al from a werewolf in the movie, not the books. In the original timeline before Dumbledore told Harry and Hermione how to fix things, he all but danced on Sirius Black's grave as he panted at the thought of an Order of Merlin, and threw a giant tantrum over it in front of the Minister for Magic.
If it had been anyone but that colossal butthead Cornelius Fudge - say, Rufus Scrimgeour instead - I think Snape would hae been sternly warned to behave himself in front of the highest government official of the land.
I kind of got away from my original point, which is that as someone else pointed out, Snape has actively worked to try and get Harry or one of his friends expelled from time to time, most notably when he throws his huge hissy over Ron driving the car to Hogwarts and in fact in the same Shrieking Shack incident as mentioned above. Conjuring stretchers after the fact and escorting all to Hogwarts is pretty much the bare minimum any teacher at Hogwarts would do, so there's nothing special about that.
We know that Ron is a particularly lazy sloppy and uninterested student, and Hermione is a know-it-all show-off who has to let everyone know that she's got the answers, whether they care or not.
You know, what makes me laugh is how much duj recycles fandom tropes and acts like a Harmoanian in that she's insisting that her version of how the characters act is real in the face of so much contradictory data from the books. Ron got an E in things like Potions and Defence, lady.
The rest of it is duj taking every opportunity to trash Harry, Ron and Hermione. Classy.
Then along comes Hwyla and mary_j_59. Ooh look Hermione is a cheeeeeeeeeater!
The Snapefen seem to throw a royal strop over this alleged "cheating" thing, especially with respect to Harry using Snape's old book in Potions, although here it's mary_j_59 obscurely referring to some nebulous manner of "helping cheating his way through class" (paraphrased).
But you know, that cheating thing?
Their precious ~Severus~, even in the face of a direct lie from Harry about the provenance of his swapped Potions books, does not press the matter too hard..
Given that Snapefen are masters of marshalling indirect evidence for just about any bizarre old conclusion they come up with, turnabout is fair play and I suggest directly and plainly that Snape knew exactly what book Harry had and decided to let him keep it, indirectly approving of his CHEEEEEEEEEATING.