I hate to break the news to you, but that video is fiction. First and foremost, IN THE UNITED STATES OF AMERICA THERE IS NO RIGHT TO SUE ANY VACCINE MANUFACTURER, SELLER, DISTRIBUTOR OR ANY PARTY THAT PUT THE VACCINE INTO THE STREAM OF COMMERCE FOR INJURIES CAUSED BY VACCINES. No one can sue a vaccine maker if they die from a vaccine, so the idea that big pharmaceutical companies did cost benefit analysis is comical. By the laws of the United States of America, they would never have to do that because they are already immune from liability. The Federal government has an agency that handles this because vaccines are necessary for the health and welfare of all Americans.
https://www.hrsa.gov/vaccine-compensation/index.html
The video you linked is so far off it is a comedy. So, no, the vaccine companies never even had to worry about how much it would cost if they get sued for injuring and killing people.
The video mentions the compensation program out of context and points to NOTHING to support the claim that children began getting compensated in “great numbers.” Because that never happened.
Wikipedia has a good table of how many people were compensated
https://en.m.wikipedia.org/wiki/National_Vaccine_Injury_Compensation_Program#National_Childhood_Vaccine_Injury_Act
The rate of injury is 1.2 per million vaccines. As of now, the Covid vaccine is safer than other vaccines, overall. Less than 1.2 people per million have been injured by it.
This is not my opinion. This is all facts. These morons making those stupid videos like the one you linked are the problem.