I volunteer with a few (American) political organizations and have connections to politicians and organizations. we have people who we elect democratically who are highly educated, highly motivated, and politically plugged in who talk with politicians all over the world all the time! We are in coalition with an elected politician who is a member of the Irish Daìl, which is like their house of reps, every day we talk with him and ask him questions, and his organization and ours trade information, ideas, articles, book recommendations, you name it. We've sent delegates to Cuba to meet with the President, and groups who oppose his government. Weve sent peoole all over the country and the world for political work and ive gotten to have some amazing experiences participating just a little bit in this kind of work. If people won't talk to us we hold rallys and protests and make them talk to us. Similar to how you described, we pay dues, publish magazines and even participate in national and international debates. Our members have been on tv, podcasts, YouTube, and we are working toward creating our own. And that's just one of the orgs I'm in, another has members in congress, and its not the GOP or the Dems.
So sorry, no, you're wrong. Even if there are (purely hypothetical) cases where the system you are describing does work for people, there is no accountability to the people and it really only works to keep professional operators in Washington speaking on behalf of their own interests and the interests of the orgs that pay them. I know good people who are lobbyists, who lobby to do good things. But their position is in no way a political necessity. Grassroots bottom up politics is not only possible its the only way to have real democracy. The top down structures you advocate for only create and reproduce the conditions of exploitation, poverty, immiseration and war. Sorry friend, but I just dont buy it.