Larger studies don't make up for decreased time in either identifying long term effectiveness or identifying delayed effects.
To be fair, it's really hard to compare this to anything that has existed before. mRNA vaccines are a whole new class of drugs that have never been approved for human use. This will be a world first when Pfizer gets the EUA next month.
I have met numerous people over the year receiving diagnosis of fibro, CFS, tendonitis without any reports from doctors to the FDA. Most negative reports are made by patients who researched it. This is extremely dangerous. I have met pharmacist who suffered from the same problems but still their colleagues would label them crazy.
I will let others test the vaccine in the real world before taking it myself.
• In the entire history of vaccines, only one has been recalled because the vaccine itself caused long term side effects (a rotavirus vaccine that had rare complications and no deaths for those under 1yr). If you can't find any papers about it, that's why. It's like finding a paper on death by lava lamp explosions. It's happened (https://www.latimes.com/archives/la-xpm-2004-dec-01-na-brief....), but not enough to study it.
• Much of the speed was gained by relaxing enrollment rules, which are for study participant safety. The majority of normal study participants join in the last year or two anyways.
• These studies were larger than usual to make up for the decreased time. 30,000 people is a lot, and plenty to check for rare side effects.
• Then compare the odds that there's a common reaction that didn't show up in 30,000 participants against the ~5-10% chance of serious health complications from COVID. It's a no-brainer.
You can read the list of recalled vaccines and why they were recalled straight from the FDA (https://www.cdc.gov/vaccinesafety/concerns/concerns-history....).