>If you connect to a new network, which your computer has not seen before, after a while you get prompted to tell Windows if it's a public, or private (home/work) network. Until you do this, a lot of network and Internet-related apps don't work properly.
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>I would also expect problems if you had https sites open. It wouldn't surprise me if a change of networks would, by design, cause the trust in such connections to be broken.

Yes, that would be exactly it.

Basically, if I am on a https site, during a WiFi connection procedure, it would simply not work. I would have to type http://www.google.com, for example, so the WiFi authentication would come up.

>But, I'd expect those issues to manifest as complete failures of networking applications, not just as vertical scrollbars not working.

That one is an IE browser issue I would assume. This does not happen on other browser. Something is highly sensitive causing this to happen on some very isolated situations.