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The 5e PHB states:
While you're mounted, you have two options. You can either control the mount or allow it to act independently.
It then describes a number of situations where that choice is made for you (e.g. you cannot control an intelligent mount nor a mount that refuses a rider).
There don't seem to be any situations in which you are required to not choose to let your mount act independently. For example, you could allow your warhorse to act on its own initiative, potentially granting you extra attacks and other options.
Is this correct? There seems to be resistance to the idea that non-intelligent mounts can be allowed to act independently.