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It did, but that was only a temporary measure because BBC THREE hadn't been approved. If they were getting rid of the channel altogether then maybe they'd rename BBC FOUR but BBC THREE will still exist online. And you're right BBC FOUR is a strong brand - it has a lot of diehard viewers who would kick up a massive fuss if it was ever threatened. Unlike BBC THREE.
The BBC Four brand is strong enough for it not to need a name change, even with no BBC Three. Remember, BBC Four existed without BBC Three when it launched too.
It did, but that was only a temporary measure because BBC THREE hadn't been approved. If they were getting rid of the channel altogether then maybe they'd rename BBC FOUR but BBC THREE will still exist online. And you're right BBC FOUR is a strong brand - it has a lot of diehard viewers who would kick up a massive fuss if it was ever threatened. Unlike BBC THREE.