No. Lobbying is indeed legal for everyone.

But when's the last time you had $300 million in your personal budget to spend on advertising to a specific human being to improve your personal income?

When's the last time you got a call from an actual politician begging you for money and "support"?

US congress members spend the vast vast majority of their time on the phone begging a list of rich people for a piss of nickles to fund advertising for their next election. There's always a subtle threat of strings attached.

Both the prince and pauper are forbidden from sleeping under the bridge.