Hi TT JB
Yes this is correct.
You only report foreign income if you do not claim or qualify for split year.
If you do, then you can elect for this on the SA109 form and then not record the income received in the overseas part of the year.
The income for the UK part of the year will be entered as self employment income.
Guidance on the completion of the SA109 can be found here:
Residence, remittance basis etc (Self Assessment SA109)