That's normal: LW will (at least for the vast majority of cases) establish a better connection to the Gnutella network as more time passes by. It will connect to more "reliable" peers (that seem to be able to stay connected for a while). If it has enough connections to establish you as Ultrapeer, then it will. That's that. I think...

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iMac G4 OSX 10.3.9
RAM 256MB
LW 4.10.5 Basic
ADSL anything from 3 to 8Mbps/around 1024kbps

"Raise your can of Beer on high
And seal your fate forever
Our best years have passed us by
The Golden Age Of Leather"
-Blue Öyster Cult-