This issue is pretty much a non issue when you know how static cache works [1]. It does, in fact (took me some messing with the code as per usual, but I believe in the end it boils down to this) SPIDER the site like any other spider would see it. So it sees exactly what YOU see on the site when you access it (as anonymous obviously).
If currently the links work ok, they very well should keep on doing so.
[1] If that is not correct, please excuse, it was many months ago that I played with this feature.