Will they allow it? Yes.

Will they get broken? Probably.

As a baggage handler, I can tell you these aren't made for travel. I'm not sure exactly what brands and stuff we're thinking here but any of those big rubbermaid/tupperware bins easy easily broken. They can hold a lot of weight, but as soon as they're put under any stress they often crack and break. Tagging them fragile always helps a LITTLE, but your stuff is gonna get stacked with everything else.

Depending on the items, I would just suggest moving boxes. Balikbayan or like U-Haul boxes. If you're trying to ship lamps or other breakables...that's tough because there's no great way to do it outside of a wooden crate and that starts getting into the cargo territory.