I don't feel that these are far enough from a waste basket in terms of expectation or function to differentiate, and `amenity=waste_basket` is almost certainly the most applicable tag. It's a place you can throw stuff away, and roughly the same size as a traditional city wastebasket (but much smaller than the giant concrete ones used in theft-prone cities like Portland to keep people from stealing the wastebasket).
I'm not sure Big Belly actually operates these cans, I'm pretty sure they just make 'em, and I'm not sure the brand of wastebasket matters much. When was the last time you needed to throw something away and was like, "Nope, I only use Rubbermaid wastebaskets?"
That said, they have these in Portland, too, which elicits reactions of "Oh, well, it's never sunny here, so no wonder it's overflowing" and "why would you want to compact the sun?"