I live in Switzerland. Have done for 7 years. Last night I went to an Embassy event about Brexit and the impact on UK nationals living here.
One question was about whether UK nationals going to University will pay home fees (eg a UK citizen who lives in the UK or in the current situation for UK nationals abroad) or international fees.
To give perspective at Cambridge studying a language at degree level is £9,000 a year for a home student and £20,000 a year for international students.
Apparently the Department for Education is looking into it.
It would be very annoying and costly if fees for UK passport holders go up just because of not living in UK