You have a valid argument, but you will have to bring this up with Hyatt.
United cannot grant you status with Hyatt (And if they could, it would have to go through Hyatt which would take even more time).
I would call Hyatt and blame them outright, sometimes being soft and saying “I’m not sure whose fault it is” will lead to a lazy agent throwing you away by re-directing you.
An example: Sometimes, when my United Silver (earned from Marriott Platinum) doesn’t auto-renew, I have to call United multiple times for them to update. Sometimes they say they are waiting from Marriott, but it never takes longer than the standard 7-10 days.