Yes, there is a link, especially with lamellar. Because their eyelids pull down, they never close completely, which means the tears that naturally hydrate the eyes tend to dry out and leave the corneas too dry. The corneas can erode, making them bumpy and uneven. This makes light not bend correctly into the eye and causes blurred vision. Corneas are not well vascularized - that is, they don't have a lot of blood vessels feeding them - so once damaged, they take forever to heal.
The daily solution for minimizing eye damage is applying eye ointment like Lacrilube or Clear Eyes or GenTeal or any of several other options, as well as using saline drops throughout the day. The lacricerts are supposed to be fantastic as well, although we've never tried them.
It sounds like you're already doing these things, and yes, it's very possible that your child is nearsighted as well as affected by ichthyosis. Nearsightedness is when the shape of the eye is too long, and the eye focuses light somewhere in mid-eye instead of right on the optic nerve. Thus, the image that hits the optic nerve is out of focus.
Ichthyosis-en-Confetti Type 2
Husband, Nathan - 10, Elliot - 7, Oliver - 4, all affected.
I also have an unaffected daughter, age 8.
email: jennifer at confettiskin dot com
facebook - find me on "ichthyosis mommy spot" or "friends of ichthyosis"