“To govern according to the sense and agreement of the interests of the people is a great and glorious object of governance. This object cannot be obtained but through the medium of popular election, and popular election is a mighty evil.”

Delegacy and deputation at natural law, representing an individual sovereign's inalienable rights in a limited body politic of servants is a great and glorious object of liberty.

Burke fails to mention "which peoples' interest." Banking people, corporate people, etc..

It's a conundrum. That is why the objects of election must respect the boundaries of inherent rights of the individual.