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I really hope so. There's a real feeling within Labour that it'd be beneath our dignity to do anything to help out a progressive alliance (Corbyn insisting on leading any GNU, Starmer refusing to stand MPs down in seats we know we can't win, etc etc). Which I wouldn't mind if we had a decent crack at being the party of govt but we've not been there for 15 years. We need to be more flexible; even if we only do it quietly, that'd be enough for me.
ReekBlefs-
I also think there is going to be a re-triangulation of Tory voters. The Brexit chaos pushes southern younger Tory voters towards the Lib Dems. My own instincts tend towards fiscally conservative, socially liberal governance (small state that leaves one alone). The current government looks fiscally irresponsible and authoritarian. Sunak was unconvincing with Neil on the plans for tax and spending. This might suit the red wall but if I lived in England I'm not sure I'd vote for Boris. Where this leaves the Labour party I don't know.
hurricane_run
I think we will seek more tactical voting in the UK. There was evidence of it in the Scottish election against the SNP (I'm now a Labour voter), and this by-election shows how effective it can be in FTP.