Rose/Grace/May are the Louise/Elizabeth/Jane of this generation. Pretty much generic as middle names. Bluesky, I think you were probably in the forefront of the trend.
I'd avoid, if you have ther options. I say this as someone who accidentally used a very popular first name for our first child - we're not in the UK and it's unusual here and I later found out it was no. 5 in the UK for his year of birth. Tbh it does bother me a very little, although I still love the name and it's perfect for him.