On the contrary, EU is notoriously hard for the rich to lobby. It is also the primary motivation behind the super rich to be against EU since they too are having trouble to find someone in EU to solve their "problems". A famous anecdote is from Rupert Murdock who is able to influence UK poltics at whim but had no effect on EU:
https://www.quora.com/When-I-go-into-Downing-Street-they-do-...He was also a huge backer of Brexit.
On social media there's persistent and years long push to paint EU as anti-Business. They are pushing and pushing for de-regulations.
The Pfizergate is another great example of what happens when you have a centralized decision. That scandal only exist because of the Covid, an unprecedented situation where EU has to take quick actions and had to engage with companies directly. The scope of the scandal is also extremely benign compared to what you have in other places, it's essentially a transparency scandal. No one is even seriously accusing her of abuse of her position for personal enrichment when in a normal country this type of scandal is often about giving the contract to a relative of theirs or an election campaign donor.
Once the Ukraine war is over, I also expect to see other scandals to be unearthed as they were rushed to acquire weapons fast.
There are scandals like Qatar paying an MPs to push their agenda, but other than that EU is so much less corrupt than anything the local governments have. Those involved in the Qatar scandal went to prison, how many local politicians you have who go to prison for anything other than political reasons?
Have you noticed what has been happening in US since February for example? That one is extreme but all over EU the local governments have some sort of these scams and dealings. In countries like US all you have to do is to buy president's crypto coins or make a donation for his election campaigns. In EU, you simply can't do anything of this sort. That's why those who want influence actually pay social media influencers to push an agenda and this is considerably more expensive and hard compared to just establishing a relationship and paying up the president.
Many of EU's weaknesses are also it's strength since having full control and being able to move fast comes with its risks.
That's why across the EU the trust in EU and support for EU is way higher than any local governments. The worst is over %50 in favor of EU, when most of the governments consider themselves lucky if they are in the %30s.