here is why they say the opposite.
in Democratic government, power is concentrated in one set of hands those of the (elective) who have been place there by the people, NOW all those key positions of power which control ( money and creation of laws). A government now controlled by those representatives, act as agent for the people to do their ---->bidding. Since the representatives are elected directly, and act as that agent of the people, then the people WILL want the federal government to work in ---->THEIR INTEREST. Because the people WILL vote for their representatives directly to give them what they want, (special interest/or faction) work to sway the population and those representatives, for the federal government to create things, PROGRAMS, OR LAWS WHICH USUALLY BENEFIT A FEW. As government continues to create, as the people want more and more from the --->public trough, this results in government expanding its power, growing and it exercising that power----> over the people. This is why in democratic governments, the government is BIG and is ----->powerful over the people. As government is continuing to expand, government cost more, and requires more taxes to operate, this in the end causes loose fiscal policy, and finally the decline of that government.
Hench the quote of:
federalist 47--"The accumulation of all powers, legislative, executive, and judiciary, in the same hands, whether of one, a few, or many, and whether hereditary, self-appointed, or (elective), may justly be pronounced the very definition of tyranny". ----->Remember the federal government is supposed to be LIMITED in its capacity<---, and state power is supposed to be VAST, the federal government with those limited powers ONLY , (1) secures the rights of the people (2) preform 18 duties of the constitution (3) leaves the people ALONE.
In Republican government power is NOT in one set of hands,......its in the hands of the ...people...states, and the electoral college, which presents the union/nation. Since power is not concentrated in one set of hands, (special interest or faction), cannot work as easy to get government to create programs or laws, which they wish to create for THEIR INTEREST,... because the house cannot create programs or laws, which would expand government power and takeaway the VAST powers the states are charged with ( because the senate is controlled by state legislators). [Now on the other end of the spectrum]...........(state legislators) cannot use the senate........to create programs or laws, which deal with money, and make the people PAY for them, because the constitution only gives the house the authority to appropriate money.
since the house and senate have a way of keeping in-check the --->others power, ...........the federal government stays limited, federal power (it expanding) is kept in-check and people are more free. Because federal power is kept limited and government cannot dispense handouts, it cant create federal programs, it cant create laws benefiting (special interest/faction) or creating laws, which violate the rights of the American people.............this also prevents people voting for the president, because he is promising to give you things(FREE STUFF), because government is limited, and has no power to give you anything he (the president) would promise YOU. government remains small and limited, the people are more free, and cost of government is kept low, and good fiscal policy is maintained.