Democracy
Gove "“... was about democratic accountability.” ...... Prime Minister"
Call me cynical, but to me his statement about accountability is not entirely compatible with the new Prime Minister being elected by the members of the Conservative Party rather than the electorate as a whole.
When in 2015 the Conservatives got 36.9% of the votes, and 331 out of 650 seats, the electorate were under the assumption that they were (indirectly) voting for Cameron as Prime Minister, not someone to pop up later as a result of feuding within the party.
Contrasts rather starkly with the President of the "undemocratic" European Parliament being elected MEPs.