This system totally works so long as you can take time off work to form a lobbying group -- this does not pass the sniff test to me.

Reminder that even in the scenario that constituents 100% support or 100% reject a policy, their opinions hold almost no statistical sway to their elected representative. It's actually worse than a coin flip.

It's only when you restrict your constituent demographic to just those in the top 10% of wealth (...like a professor in college for example...) that suddenly their voting decisions align to constituent opinions.

Look up "Testing Theories of American Politics: Elites, Interest Groups, and Average Citizens", this has been known for some time.