mrsdoyle
Yes, Support Group claimants can be better off under UC than ESA.
Your existing award should be transferred to UC without the need for an assessment unless you are due one anyway. The transfer is a manual process so you will need to chase the DWP to make sure that it happens and you need to keep an eye on your payments to ensure there is no recoverable overpayment.
Gordon
Nothing on this board constitutes legal advice - always consult a professional about specific problems