Yes, US law in 35 states does have something to say: https://en.wikipedia.org/wiki/Anti-BDS_laws#Anti-BDS_laws_in...

Namely, if you do not support the human rights abuses of one particular country, action will be taken against you.

If it did, almost none of the top companies in the US would exists anymore. Of course it doesn't.

the US often doesn't even have to say anything about human right abuse _in_ the US

The U.S. doesn't care about "human rights" if the supposed perpetrator supports U.S. hegemony.

I think it doesn't because it wants to control what is polices, rather than relying on third parties like human rights groups to decide that.