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Octal SPI or HyperBus are communication protocols. It will only establish the rules you will have to follow to communicate with the Hyper RAM. With the information you have provided for the micro controller you wish to use you can go for any of the variants.
You can use octal SPI protocol in the memory mapped mode. As the OCTOSPI interface supports the HyperBus frame format as well you can go for HyperBus protocol as well. It depends on how you wish to communicate with the device and which is more comfortable for you.
Thanks for the help!