For future consideration perhaps, would you consider changing the code behind determining whether there is an internet connection, such that it will first try to connect to a given URL? (perhaps URL configurable through options dialog).
So, the way I envision this working, the 'Connection available' icon will only turn ON if it could successfully connect to the specified URL (such as google.com).
This way, if I am driving, and I see the icon light up, I KNOW there is a good IP address assigned to me, and that I managed to get to the internet (and not that I just got some random IP without any sort of real internet access, which seems to happen quite often).
01 Jeep Cherokee Sport 4x4 Installed
M10000/512Mb/20GB, Lilliput 7", Holux GM-210