This is a misleading characterization of the issue here. Let me pull up another very relevant analogy here. Let's say that you visit a government office for a driving license. Should you pay a bribe to the official? You are a responsible adult, after all. Bribes are needed for everything from housing permits to your kids' food assistance. How is it bad when it gets good things done?
Is this how you reason about corruption in government service? Unlike your argument about about lobbying, the problem is very conspicuous here - you're supposed to get those services without paying anything beyond the nominal service charges. They're your rights in an society where you already pay taxes to fund them. The government officials are already being paid with your tax money to do this job. What's even worse? If such loose and open-ended bargaining is permitted for basic essential services, then the only ones who will get those services will be the ones with money, not the ones who need it. Your housing permits and your kids' food assistance will become increasingly costlier and harder goals to achieve. That's why bribes are illegal.
If you look at this scenario carefully, it isn't much of an analogy. It's exactly the same situation, but with different players! When politicians debate public policy, the only criterion should be the public interests - because the public are the primary stakeholders in a democracy, and it's the utilization of their tax payments that these politicians are debating. Those politicians are supposed to be the people's 'representatives' who are elected and paid to listen to their constituents and lobby on their behalf. The public shouldn't have to 'lobby' with them too, especially for basic essentials like nutrition, national parks or tax filing!
What you call 'lobbying' in the US is known as 'political corruption' in most of the rest of the world. It's just a weasel word used to underplay the seriousness of such corruption. And as I pointed out earlier in my analogy, the rich ones outcompete the majority public here too. It's abundantly clear that even town councils favor big corpos even in the face of loud vocal opposition from the majority of their constituents. It's clear how much special treatment these professional grifters called 'lobbyists' get when they walk into the town hall just minutes before the discussion of a topic, while the town's people have to wait there for one and a half days without proper food, water or sleep in order to speak a few words in opposition. This is what happens when you legitimize corruption with cute terms like 'lobbying'.