Usually named hostile mobs are intended to be a permanent feature of the world, so it would make sense for them to stick around in peaceful mode. They would ignore the player if loose, similar to how mobs react to a player in creative mode, or the permanent mobs such as illagers react to a player in peaceful.
This would mean that you don't have to worry about your mob zoo vanishing if you have a reason to switch to peaceful. Similarly, contraptions that rely on a mob to work such as an endermite in an ender ender aren't broken if you have reason to switch to peaceful mode for a while.
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