I'll explain this one more time :

Ultrapeer - Leave network :

First you have normal connections to everybody and LimeWire sends and receives searches and search results to everybody .

Suddenly it stumbles upon a LimeWire client running in Ultrapeer mode .
Your LimeWire immediatly drops all it's connections exept for that Ultrapeer and sends an index (a list) of your files to it .

This is good because no searches and no search results are going trough your modem .
The Ultrapeer handles all searching , search results , matching , ...

The only activity you will see in your modem is when someone downloads a file from you or when you start searching and downloading .

So if you are on a slow 56K (phoneline) this is a blessed thing .
It can however be a curse if you have a T1 for just 2 PC's (my situation)

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So you see only one connection with bad statistics
They are still working on the statistics part .
But if you get about 100 results you can be sure that the one you are connected to is well-connected to others .

Besides you shouldn't trust the statistics anyway , they were always way off