You know what I thought was really interesting was that whenever the time stone is used, the user gets the green-glyph-glove and has to use the specific hand turning motion to reverse time. That never happens for the other stones — they just glow when Thanos closes his fist and do their thing. It makes sense that when Doctor Strange uses the stone, it does that, because he was taught how to use it with a book of magic, so of course his way of manipulating the time stone would look like all the other magic he uses. However, when Thanos uses the stone, he has to do the same exact thing (besides, of course, the hand motions for opening the Eye of Agamotto, where Strange keeps the stone, because the time stone is in his gauntlet when Thanos uses it). I think that this indicates that the infinity stones are, at least, partially sentient (or, at least, have somewhat of a memory), and that the time stone remembers being used in the green-glyph-glove method and prefers it, or at least is more comfortable or prone to that method.
In the comics, specifically Infinity Wars/Warps (2018), the infinity gems (stones?) are, in fact, sentient, so there’s that too
Of course, the time stone could just be special in its activation method, Thanos could’ve learned how to use the time stone by reading books of sorcery, or perhaps Agamotto himself placed a spell on it or something so that it can only be used in that manner. This is just speculation, but I think that it’s an interesting idea!