I received an apology from SAP via my OSS-note. They had, so the note, multiple login-issues within the application and Sorry.
How about placing a red blinking info line somewhere on this place that says something to this effect? You know ... to inform users about things?
Anyway - next problem. Now I can reach the download site for SAPGui 7.40 patches, but guess what. Every link I click opens the same page in a new tab (or window) with the same links. None of them gets you to the SAPGui patch.
This is ridiculous, really.
Also, thanks Yogesh and Jamie for participating in this thread - I really had a "Have-I-Now-Totally-Lost-My-Mojo" second there.