Since you're asking mechanical questions, these are mechanical answers:
- In essence you are saying that, intentionally or not. Your end desired result is breath which freezes and the ONLY way for that work is for it be be cold.
- Why? Two reasons: First, it's mechanically impossible to gather enough breath [Footnote 1]. Second, no amount of powerful blowing will create a vacuum [Footnote 2].
- No, because even if a vacuum was created, they don't freeze [Footnote 3].
Footnote 1 - Air is a known quantity. There's no mystery or magic to it. It can only be compressed so much before it [for the sake of simplicity] "can't be uncompressed." Moreover there's no organ, no matter how strong, which could mechanically compress air to that degree... it's a little like trying to scoop water with a sieve... even if the sieve is made of titanium or diamond, the strength of the sieve isn't going to improve its ability to scoop water. No matter how strong Superman is, he'll quickly reach a point where more air rushes out while trying to compress air in. There's just no plausible way to contain and expel air in the way he often does.
Footnote 2 - Moving air behaves like a fluid(ish) and while you can perhaps create pockets of low pressure, it is essentially impossible to use a jet stream of air to create a vacuum. What you're essentially proposing is like this: Someone is treading water in a pool. You bring a firehose and say, "With the force of this, I'm going to hose them bone dry!" Perhaps you can see some of the problems. At a basic level, you risk more damage to the person in the pool than you do risk of making them dry. The amount of force required by breath to reliably create low-pressure towards a vacuum is going to absolutely kill and destroy anything it touches. To put this into perspective, tornado and hurricane wind speeds don't even remotely come close to creating vacuum-level low-pressure. Additionally, air moving that quickly starts to generate HEAT! The particles rubbing that rapidly can literally ignite the air. That's why reentry into Earth's atmosphere requires heat-shielding... forceful fast air generates heat through friction rather that some cold low pressure.
Footnote 3 - Assuming all the laws of physics get broken and Superman can blow vacuums, it still isn't "colder" than "cold breath" because scientifically there's no such thing as "cold" only "heat" as a property of matter. In order for heat to be conveyed away from an object- for it to turn colder- it must be transferred through the medium of matter. The problem with vacuum is that it is the
absence of matter. Which means there's nothing to convey the heat to and away from the object to be cooled. Vacuum is literally the best insulator, which is why it is used in your Thermos to separate the inner chamber from the outside and minimize the conveyance of heat between the two. The only way you would get breath that works something like what happens in the comics is if the breath itself had less heat (it's colder)... but again, air is a finite thing and known quantity which can only be so cold before it ceases to be air.
To get the kind of
results that you want, you're better off with a freeze ray. There's no way to make the power make scientific sense with the feats in the comics. If you don't need the breath to be
that cold ("near absolute zero" as some claim), you can make it slightly more internally consistent, but you'd still have a load of problems with the volume and power of the breath and why it's cold at all.