First, they don't own the box, they rent it.
Whether a joint renter can still enter the box after the other renter has died is a matter of 1) state law and 2) the terms of the lease they signed. The second question (answered by the same sources) is whether a duly appointed representative of the decedent's estate has a right of access to the box.
You may want to consider re-posting your question in your state's forum, but it's still important to review the terms of the lease.
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In this world you must be oh so smart or oh so pleasant. Well, for years I was smart. I recommend pleasant.