Although I initially had the same reaction as Sumukh, I do see how (C) isn’t 100% locked in because the original rule is unclear as to whether it says
"any hemoglobin w/ 3 oxygen is more effective than any hemoglobin w/ 1 oxygen"
vs.
"a hemoglobin molecule w/ 3 is more effective than
it was when it had 1"
An easier metaphor for the wiggle room might be this rule:
"With each additional hour of studying, a student becomes better at taking the LSAT"
This would not allow us to prove that Gary, who has studied 10 hours, is better at the LSAT than Sheila, who has only studied 5 hours, because maybe Sheila started off from a loftier initial perch.
It only allows us to prove that Gary is now higher than his starting point, and Sheila is now higher than her initial starting point.
But the context of hemoglobin molecules being a simple biological construct makes it a more likely that we can treat them uniformly (as opposed to LSAT students, who start out as unique snowflakes).

Nevertheless, we have NO support for (E). Where does it say that every hemoglobin molecule picks up at least one molecule of oxygen?
Is there any sentence that could be interpreted to mean that?
So if you’re waffling between (C) and (E), you’d have to pick (C) for which there is some (albeit ambiguous) support vs. (E) for which there is no support.
You might also be bailed out / well-informed if you know that on Inference questions (particularly "˜most strongly support’ ones), the correct answer loves to reinforce the causal mechanism described in the stimulus ... whereas on ALL Inference questions, extreme language such as "each" is super sketchy.