S
The DWP are prioritising new claims but I don't think that we have any reliable statistics for any particular region on timescales.
I would include the information on the form, it may make no difference in them actually booking an appointment but you will be able to say "I told you" so any moving of the assessment is not classed as being your fault.
Gordon
Nothing on this board constitutes legal advice - always consult a professional about specific problems