Yes, it does. Here is the line.
I quoted that line to you. It is not tied to powers AT ALL in the film. Whether in actual sentences or in actual displays of power; Clark is surviving arctic waters while submerged for an entire flashback, survives and flies in the vacuum of space repeatedly, and in the non-Earth atmosphere of a raging oil rig fire, or during reentry pummeled by Zod grunting (not holding breath), none of those non-Earth atmosphere conditions compromised his powers.
Moreover, it's not even consistent with the view compromise of the helmets since strength is exhibited even before any helmets are.
The only thing linked, three times in the film, to the powers is radiation. Jor-El in picking the star. Jor-El in explaining the powers. Jax-Ur in explaining the powers.
Not once does Jor-El ask Lara, "Does the planet meet these atmospheric conditions?" nor does he caution Kal to avoid vacuums or hold his breath... no, he says, "Strike that panel." precisely because Earth atmosphere means nothing to his powers. This is the most consistent view of the film because otherwise you have to come up with really bizarre justifications for who is breathing what when and why which get convoluted and untenable and, frankly, aren't supported by the dialog or the scenes.
Additionally, the only time atmosphere is mentioned so is gravity... so why aren't we making his powers gravity dependent? Why doesn't he wilt under the literal gravity-weapon if his strength is derived from low-gravity? Why is atmosphere given more weight as a power factor than gravity? Likely because of mistaken assumptions about what the helmets do, but if you don't make those assumptions, nothing in the traditional model contradicts anything that happens in the film; whereas assuming these are factors really over-complicates reconciling everything in the film.
In any case, I'll agree to disagree... it definitely wasn't explicitly stated in the film one way or the other, but the radiation way only requires three rules with no-plot holes: 100% radiation, training, Kryptonian atmosphere block stores... whereas any combination of other factors needs those same three rules AND more rules to justify the extra rules as not being contradictory or plot holes with other scenes.