Note: This is in no way me supporting the gov. Just considering the thought process.

While the gov seems not to care about public opinion.

It seems likely drawing that conclusion and banning a well known person. May be such a bad move even Starmer was hesitant. His option likely were.

Allow her in. Knowing she will protest. At least he can jail her.

Reject her where she will still protest and have huge access to the media while explaining the UKs argument.