While it makes sense in theory, the data doesn't support the need to
work in your drive.
Not only will a few weeks not really make an impact, the failure percentages don't really work when looking at only two drives.
While there has been some indication of more normalized failure rates when it comes to drives of the same model.
Most age-related results are impacted by
Interestingly, this does not change our conclusions. In
contrast to age-related results, we note that all results
shown in the rest of the paper are not affected significantly by the population mix. (emphasis mine)
As such, age related failures, which is only a small subset of failures, can be somewhat correlated to drive vintages. But the majority of failures can't.
If you add to this the overall failure percentages, which can peak at 8% for a given year, the odds of both drives failing in the same year are small, them failing in the same week is negligible.
And this is if you look at every possible cause of failure, not only age related failures.
If you want to minimize the risk, but two drives of a different vintage.
If you want assurances, buy an insurance.
And as ewwhite's answer already stated, backups and monitoring are a must.