did he? I don't live in the UK, but AFAIK the question was "remain in the EU".

I assumed this was on purpose so it could be acted upon as "become norway" rather than "become ukraine".

I can't find the source, but as the Leave campaign has been stressing the importance of limiting immigration and doesn't want freedom of movement, it seems that they'd go for leaving the EEA as well as the EU. If they were to stay in the EEA, nothing about free movement would change.