It wasn't exactly a resounding success for Labour in these local elections was it.
They gained 3 councils in London and lost 3 councils in London, so no net gain.
Although the Conservatives lost a high number of seats, they went in the main to parties other than Labour, Lib Dems, Green, independents and a new party called "Aspire" in Tower Hamlets.
Unless Keir Starmer can make more of an attempt to either:
unify the party as he promised,
collect many many more Conservative votes, or
make himself more likeable
he is going to have trouble holding on to his leadership.
Wes Streeting and Lisa Nandy are already positioning themselves, and this is even before Andy Burnham is in a position to make another bid.
If he is serious about purging the entire left wing of the party he will have to find replacements for them.
The so called far left are in no position to act against Keir Starmer. He has been in position for over 2 years, he cannot shift the blame on to anyone else now.
Mark Drakeford seems a likeable man who actually cares about people, he is perceived to be more left wing than Keir Starmer and is considerable more popular and more secure in his position.