Use of vitamin D supplement is also probably correlated with sunscreen use. That is, health-conscious people use both.
In Scotland we get insufficient sunshine to produce natural vitamin D for around 6 months of the year, and there's discussion about whether everyone should be supplementing to the point it's been mooted as an addition to the water supply.
That's relevant because nobody uses sun screen during those months. I wouldn't expect any kind of correlation through sheer lack of use.