Backing up saved game data question

I don't think this has been asked or addressed here, and no source online has answered this clearly:

I'm preparing to install a new internal hard drive in my PS4. If I have more than one profile on my PS4 console, do I need to log in to each one and copy the saved game data to a USB to ensure I don't lose it, or will copying the saved game data on my main profile also include saved game data from other profiles?

Thanks