Surely, the reality is that any councillor would be ousted if their behaviour in their personal life was truly inappropriate.
Like this UKIP bloome in Redditch https://www.theguardian.com/politics/2014/may/28/ukip-councillor-sacked-newly-elected
Or this Haverfordwest Tory...
I think you've misinterpreted GB's post. Rather than blaming the Tories, surely he was saying Starmer's realpolitik was understandable.
Either way it's a moot point as we don't know why they've been suspended.