In the UK at least more often than not if I have a problem with a company, esp for some kind of utility, there is an ombudsman that is the first port of call over the courts.
The fines that the EU states can issue are very substantial % of revenue amounts.
In the case of the UK, which I'm most familiar with, it's probably a combination of the ico and ofcom which have the relevant powers to fine someone like Meta.
Fines for breaking EU Competition Law Overall limit: The fine is limited to 10% of the overall annual turnover of the company.
Annual turnover of Meta?
«The more serious infringements go against the very principles of the right to privacy and the right to be forgotten that are at the heart of the GDPR. These types of infringements could result in a fine of up to €20 million, or 4% of the firm’s worldwide annual revenue from the preceding financial year, whichever amount is higher.»
Source: https://gdpr.eu/fines/