At the cost of making a billion non-slave laborers also unprofitable. Sure, removing that billion from the labor pool may help other workers, but that's a huge sacrifice.
That only works if sanctions apply to slave labor, but not to comparable non-slave-labor. Sanctions based on geographic region ("Made in China"/"Made in Xinjiang") ethnicity ("Made by Uyghurs") or product category (cotton) can't achieve that, because they don't apply differential pressure that allows non-enslaving businesses to outcompete enslaving ones (and then hire former slaves as free workers), they affect both equally.
To make differential pressure work, the first step is knowing who you're dealing with, which means having dedicated inspection teams working their way down supply chains to record labor conditions on the ground. Once you do have that information, highly targeted sanctions can be used to force change.
> dedicated inspection teams
That would be a very welcome development in international labor/human rights.
So usually Joe Rando does not care when he is shopping, but at least he can't and doesn't fund more labor camps indirectly.