Sure they do - just let the people have the power to force government to actually act on those rights.

Lets take an example. California has a system of partial direct democracy where any citizens can propose a potential law. If enough people sign on, then a referendum is held, and if a majority votes yes - then government is required to implement that law.  These are known as "ballot initiatives". Last year California voted on a ballot initiative to set aside 1.2 billion dollars to build housing for the homeless and address it's massive homelessness problem. The funding would come from an increase in property taxes to be set aside exclusively for that fund.

Would people vote to increase their own taxes to help those less fortunate ? Yes. The initiative passed by an overwhelming majority - one of the largest ever. California's home-owners were happy to pay more in taxes IF they could dictate that the money goes to shelter for the homeless.