That's Sci-fi BS, WHO already said that even if it mutates, the vaccines will still be effective because in the core, the virus is still the same. I do agree with you that more people should be vaccinated as fast as possible because it can help for a faster recovery of the economy.
Are you sure about this? Because I just read a journal article which claims that the Pfizer vaccine produces 5 times less antibodies while coming in to contact with the Delta (B.1.617.2) strain. That doesn't mean that the Pfizer vaccine will be ineffective against the mutant strain, but there is a strong chance that it will be "less effective". And in due course of time, we will see more mutant strains, against which the efficacy of the vaccines will be even lower. Vaccine manufacturers need to deal with this issue.
Full text here:
https://www.thelancet.com/journals/lancet/article/PIIS0140-6736(21)01290-3/fulltext