The eye is not necessarily the issue.
Some figs are hollow, but if there is no actual pathway from the outside, there should be less issues of bugs (beetles, ants,,,), mold, etc. in the flesh of he fig.
Some climates/locations have more issues because they have more humidity, more bugs, more rain, or whatever. Drier climates tend to have less issues. Hotter weather can lead to faster ripening, giving issues less time to develop.
Bugs may crawl in the eye (for our purposes, an opening in the skin) but will not penetrate the skin. If so, then the tightness of the eye is important. To the extent that the eye is open, it exposes the fleshy interior of the fig which is probably less resistant to issues than the skin is.
If the figs tend to point "eye-end" up when green, that allows rain to enter the eye, and wash others things in with it (mold spores, etc). If they hand down, probably less issue.
When you look at the pix at Figs4Fun, you will see that I try and cut the fig directly through the eye, so that it will help you identify the varieties that have tighter eves, hollow interiors, etc. One example is White OC which has an open eye and a hollow center. I have tried various methods to seal the eye because it ripens slowly and leaves a long time for ants, mold, etc. to crawl in there and spoil it. Even here where it is relatively warm and dry during fig season, it is an big issue with this fig.
I don't think there is a "primer" on "eyes" or a list of figs which specifies the type of eye that it has. Hope this helps you to think it through.