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Probably not. Just think how easily the rags ran with communist fearmongering at the last GE.
Any angle they can discredit Labour on will be an option and Labour dragging the UK back into the EU will be top of the agenda.
The only way that won’t work is if public opinion has swung so wildly that rejoining the EU is actually advocated by the DM / Express at which point he tories will probably campaign on being the best party to do that or something.
I do wonder if "make Brexit work" is a bland enough statement to allow for pushing single market access once labour get in without engaging the loons prior to an election?