I enjoy working with cameras from the Nikon 1 system and find it unfortunate that lens correction is not available with telephoto zooms such as the AF-P DX VR 70-300mm 4.5-6.3 G ED or with the AF-S 55-200mm DX G ED 4- 5.6.
The AF-P DX VR 70-300mm 4.5-6.3 G ED in particular is an inexpensive solution for achieving a strong telephoto effect with the small sensor. However, you would need the lens correction to suppress color fringes and of course to improve the image.
AF-P DX VR 70-300mm 4.5-6.3 G ED is compatible with a few cameras only that’s why maybe we missed it for Nikon 1 camera.
Anyway can you provide us images made with your cameras and lenses so we can check the addition of modules for these lenses ? Please use https://upload.dxo.com/