[SideburnsOfDoom]

But it does use the word "fix" in the sense of "fasten upon, stop moving, make immobile" like a "fixed point" and not in the sense of "repair" or "make breakfast",

And does so in relation to "gaze" in the same sentence. How much more do you need - the rest seems nit-picking. Sentences aren't all fixed forms, they are creative combinations of words. (and as has been established, this form is not actually unique)

If you don't want to engage with the piece, then maybe it's not for you. Not everything is written for everyone, and it's useless to complain about that.