The only verbiage difference is to coincides with a states laws or statutes which in my prior experience usually was privacy laws, no call laws and procedures in regards to responding times of garnishments, levy s, liens things like that.
As for ownership, responsibilities and liabilities of a personal account checking, savings, cd owner the rules where the same in all states the bank I worked for serviced. Also I've dealt with almost if not all major banks in the us and some worldwide, as for the major US banks same rules applied there too.
If you are on that signature card and in the system as a signer your an owner of the account. When it comes to liens, levies, garnishments, administrative holds, etc no matter if you are primary or not the account gets hit.
All security/loss prevention needs is a name / social security number or name / address match to complete the hold.