Permitted work and IB reassessment

Sorry if this has been asked before (I thought I’d seen it but can’t track it down now). If someone doing permitted work is reassessed and transfers to ESA is there any effect on the permitted work? I can’t see a reason why they shouldn’t be able to carry on with it provided all the normal permitted work rules are satisfied. And if they transfer to income related ESA from Income Support they will get the higher disregard which might be the only bit of good news in this process.