I don't line anywhere near the tear duct and only rarely on the waterline too. I'm more likely to just use a light shade of shadow around the tear duct than any sort of liner on or near it. I hate those inner eye boogers too! lol
And am glad I gave up the contact lenses, because getting any sort of makeup on your lenses is painful and can make your vision blurry. I hated that too. I also seemed to be more prone to eye infections and styes when I wore contacts. I had the monthly ones and suspect that even after cleaning I still had makeup stuck on them and that probably caused the sensitivity and infections.