To oversimplify a frequently-debated topic: it's a lot cheaper to bribe one politician than to bribe all their constituents, and the latter might not be so bad anyways.
Well, if it's frequently debated, then I'll not get us bogged down in it, but I wouldn't expect them to try to bribe their constituents, rather to misinform and deceive them.
And the amount of deception/bribery/threats (let's just say "noise") is
reduced by a representative layer? Do you think it would help to add more layers - representatives who elect representatives who elect representatives? If not, why just one layer?