People are given the opportunity to vote on issues in liquid democracy. In the U.S. we have a representative democracy where people aren't allowed to vote on issues, they can only vote for reps that they think will have their best interest at heart.
Liquid democracy is the opposite of offloading civic duty. It's an opportunity for citizens to assert their voice directly in the policymaking process.
For instance, if you are a republican living in a blue district, you won't have very good representation under our current system. But with a liquid democracy, you can represent yourself directly whenever you want, effectively bypassing your regional politician.
It's the best of both worlds of representative democracy and direct democracy.