I looked at the link and the cabinet only has a 2-star rating. It's apparently crappy particle board/pressboard with laminate & the reviewer said the laminate didn't even cover the whole thing and that the "trays" are unstable. IIRC, Hampton Bay doesn't make the best quality stuff.
I'm assuming this is for a home you are flipping or something someone asked you to do. Did they pick those cabinets?
The cabinets have backs, but it looks like it's almost cardboard just stapled on to the back. It looks incredibly cheap and flimsy.
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I don't think backs like that would do much to stabilize the cabinet.