From that Wikipedia article, pharma companies paid a total of 2.5 billions in damages from 2006 to 2020. Seems hard to say that they can't be sued, it's just a different court system.

The critical difference is that there's no culpability or consequences or Erin Brockavich-style showdown with the Big Lawyers from Big Pharma.

For the "vaccine court" you're just presenting a claim that vaccine X could cause condition Y, that you developed condition Y after taking vaccine X, and that there's no other reason you'd suffer from condition Y. If the court finds it plausible, you (and your lawyers) get paid, and everyone goes about their business the same as before.

Pfizer secret contracts with governments (at least in Latin America) force to accept the non suitable nature of the agreement against the company. The receptor of the vaccine signs a consent of declining to demand outside his own country, and the government signs to decline demands against Pfizer.It is no one's fault land in your body.