Tbf to him Starmer addressed this 3 weeks ago :
https://amp.theguardian.com/politics/2022/feb/10/keir-starmer-says-stop-the-war-coalition-gives-help-to-authoritarians-like-putin
Keir Starmer has launched an outspoken attack on the Stop the War coalition, in which Jeremy Corbyn is a leading figure, effectively accusing the campaign group of siding with Russia against Nato.
In an opinion article for the Guardian, written on the way to Brussels where he reaffirmed Labour’s staunch support for Nato, Starmer says Stop the War are “not benign voices for peace”.
“At best they are naive, at worst they actively give succour to authoritarian leaders who directly threaten democracies. There is nothing progressive in showing solidarity with the aggressor when our allies need our solidarity and – crucially – our practical assistance now more than ever.”
He said Putin’s regime would see Stop the War protesters in the UK as “virtue signallers” who were “providing a smokescreen so it can go on beating up and jailing those brave individuals that dare to stand up to its despotism on the streets of Russia”.
He accused the group of a “kneejerk reflex: ‘Britain, Canada, the United States, France – wrong; their enemies – right’.”
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He has done what he needs to for now
I daresay he will take further action when deemed necessary against the fruit loops like Abbott and McDonnell