I'm glad the question I wanted to ask is already answered (use alt.binz with multiple pc's in the internal network at home)
Best thing is to setup your first device to use 50% of the usenet connections and the other device also 50% of the connections.
Then you won't have a problem I think.
So your usenet provider gives you 20 connection, setup 10 con. on your laptop and 10 on your desktop in alt.binz. (Server Options / Number of connections)
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(or I'm I wrong?)