Yes. Genovese has the most responsibility spread out among their most trusted, as well as guys who have a little (or more) extra incase something happens for something on record for the family. You dont hear a lot of the bank, cause decades ago it was really bad where soldiers or capos would do things off the record and get caught. The Family asked around and found that it was never cleared.
Dont know about the Colombos and perhaps they have a bank or fund for the family and it may just go to the Persicos, just like Magaddino and Profaci decades ago, but the other four families have banks.
San Jose crime family was two guys, the Consigliere, and Leo Cusenza of Modesto.