I agree with the overall pessimistic assessment, but I'm not sure that e.g. actually 'apologising for antisemitism' would help matters. You can bet that would be exploited to the max by the Tories just like the lack of one is being exploited now.
If, right at the start, they'd not tried to excuse it and had been seen to do something about it then it'd be a non-issue. As it was their response left enough room for the Tories to keep pounding on them and for swing voters to doubt their truthfulness.
Yes - this. Plus they could then have shifted the conversation to the tories failing to honour the promise they made on Islamophobia during the leader's debate.
If, right at the start, they'd not tried to excuse it and had been seen to do something about it then it'd be a non-issue. As it was their response left enough room for the Tories to keep pounding on them and for swing voters to doubt their truthfulness.