If you can point out where did they cut short with the vaccine approval, please point it out.
One thing is clear - they did not wait till planned AE period was completed but we do have now even more data about AE than we have for any other vaccine so far.
I think that the opposite is true - the vaccines have not been deployed fast enough around the world and this has allowed new more infectious variants to emerge.
Or, the incredibly narrow focus of the mRNA vaccines put enormous evolutionary pressure on the virus to mutate.
All too often you hear the misconception that only the unvaccinated can act like a petrie dish for mutations, but this can happen just as easily in anyone vaccinated.
I propose that if there would have been more, we would possibly not have this variant. We do not see new variants popping up in highly vaccinated areas.
The good news is we have one in the process in the US with about 300 million people.
Most drug development takes from initial research to FDA approval about 10 years[1]. Even with Priority Review, Breakthrough Therapy, Accelerated Approval, or Fast Track programs, the time is in several years.
I do not believe you have the scientific evidence to make your statement with great assurance.
[1]https://www.hiv.va.gov/patient/clinical-trials/drug-approval...