And absolutely it happens, particularly with networks of accounts connected to China. Just because you've never heard of it doesn't mean that it doesn't happen. FinCEN has been publicly chasing this down for years. Although hawala networks are also a big source of that not mainly personal banking.
Also you're missing the forest for the trees here. Money laundering will most often happen through business bank accounts but a large number of business account holders also have personal accounts at the same bank and link them out of convenience.
Personal ID is also required to open a business bank account. This requirement will likely apply to those as well.