DWP guidance does not include any easements for anyone who is home-schooling their child/ren.
If the claimant is subject to any work-related requirements, it is important that they comply with these, to avoid a sanction.
There is an
old FOI response from 2016 about this subject, but it is quite vague!
(Remember that for couples, a working partner might be earning enough to allow the home-schooler to be in the 'no work requirements' conditionality group - see
Earnings Thresholds.)