Kovri is a C++ implementation of I2P. I2P is an acronym for Invisible Internet Protocol. The idea behind I2P is to create an anonymous internet. To me, your average semi-educated enthusiast, this poses a hurdle to hosting remotely-accessible nodes.
If I2P is anonymous, then the Monero network may not have people right and left saying "here, connect to my remote Kovri node!" And, certainly, it seems silly to think that the nodes would identify themselves regionally (if I live in Greenland, I don't want to accessing a node in Antarctica, for speed reasons, at least), since you aren't supposed to be able to tell from where an I2P site is being physically hosted.
With that said, is all of that irrelevant? Will the Monero network self-assemble over I2P, just as it has over clear net? Will an individual who doesn't run their own node [eventually] be able to tell their wallet to search and find a node on I2P on its own?
I tend to ask rhetorical questions to frame my thought process, in hopes of getting more than a simple yes or no. If the answer turns out to be a short one anyway, perhaps I'll edit down the body of the post.