Lobbyists will always have influence. A tale as old as humanity. The question is, how transparent do you want it to be?
When lobbying is transparent, it actually loses quite a lot of its power. When lobbying is hidden, it becomes far more influential. Who would you trust more? Your favourite Green Party politician, who unbeknownst to you has been hired as an influencer for GroupA, or the slimy scumbag who works as a lobbyist for a GroupA?
However, "transparency" can also be nothing more than obfuscation, when its incomplete. After all, if your favourite politician is never forced to reveal that they are an influencer, but the slimy scumbag is forced to wear a fedora marking them "transparently" as a lobbyist...
Well, guess who wins again?
GroupA.