For something liquid like a soup, I generally use a plastic container even though I’ve been trying to cut down on plastics use. I have found freezer-safe glassware though it probably does exist.

...for anything with a liquid component. Anchor Hocking brand is made in America, and is oven, freezer, microwave and dishwasher safe. So far, I'm very happy with this decision. Besides cutting down on plastics, I like being able to store and reheat leftovers in the same container, and if it is a small serving of whatever, and I'm home alone, I can eat from that same container, so fewer dishes to rinse after using, cutting down a bit on water use. Win-win-win.

And, no staining from anything containing tomato sauce.

From their info site - Anchor Hocking glass bakeware: Can be used in the freezer, dishwasher, microwave, and oven up to 425°F

to defrost and reheat.

Bought all Anchor Hocking glass containers for storage and for freezing.

With some plastics you don’t know if they contain chemicals that will leech into your food.

I have found some just crack, even if not filled up. I use freezer bags, even for soup, and also reuse Talenti gelato containers, which have a sturdy lid. It helps that I have a friend who is addicted to Talenti, and is glad to get rid of the evidence.

Food aging, even at low temperature is mostly a function of oxidation. Oxidation slows down as temperature decreases, but it doesn't stop until below the activation energy, which is closer to liquid nitrogen temperature than it I'd to freezer temperature.
The less oxygen the better.
A nearly full container has very little heads headspace for O2.
In addition, a larger container very likely has a larger diameter. Hence, we have a higher surface area per unit volume.
Now, we could have more oxygen and more contact of the food with it.
The tallest & lowest volume container that actually fits the contents would be the preference.