Or are they more like t-shirt sizes "I know I want a 16oz can to drink and I know how big they are"?
It seems the exception is that wine imported into the US can keep metric-only labeling, so I have indeed seen bottles labeled only "750 mL", sold in the US.
Some soda bottles. 20 oz bottles are still very much the norm at convenience stores, and 12 oz cans are the norm when you buy 12-packs.
For example my breakfast cereal label says a serving is 1 cup or 45g.
Liquids seem to give a US customary volume and a metric volume. For example the milk I put on that cereal says a serving is 1 cup or 240mL.
Checking some sauces I have on hand thick liquids (ketchup and sriracha) are US volume and metric mass like pourable solids and thin liquids (like soy sauce) are both US and metric volume like milk.
Butter is also US volume and metric mass.
A little bit of research says that this is actually regulatory. For things where how much you can fit in a given volume varies quite a bit depending on how you pack it the FDA requires that the metric units on the label be mass units, and that nutritional information is for that amount of mass of the thing.
The actual amount of flour in a cup of flour for example can vary quite a bit depending on how much air got in when you poured it. If the label says it is 110 calories for 1/4 cup (30g) and you want to actually use 440 calories of flour in something you should measure out 120g rather than 1 cup.
For things like milk 1 cup is going to have the same amount of milk no matter how you pour it, so they use volume measurement for both customary and metric.
This is sadly far from the truth. Manufacturing is nowhere near metric conversion. Horsepower, foot-pounds, and my all time least favorite unit, the mil, are everywhere. And relatedly, manufacturing execution systems that use localtime internally cause all manner of hilarity twice a year. It’s like we’re just deliberately trying to be bad at measuring things.