plumtreed,
I made a new installation: after the installation and the reboot, the problem with the Wi-Fi is still there.
But I found the solution (it's very easy):
1/Start SliTaz. The Wi-Fi connection is NOK after the start.
Go to Preferences/Wi-Fi configuration ==> choose a network and start the Wi-Fi. You're now connected on the Wi-Fi.
2/Maybe this step 2 is not necessary.
Applications ==> Preferences ==> Package Manager :
Click on "Packages/Recharge list" and after that on "Packages/Check updates".
I had no updates because it's a new installation with the new weekly .iso.
3/In Applications ==> Preferences ==> Package Manager :
You look the menus :
-Boot (Summary/Boot loader/Boot logs/System logs…)
-Hardware (Summary-Kernel modules-Detect PCI/USB…)
==> you click on Boot/Summary ==> you look ==> you click on Boot/Boot loader ==> you look ==> and you repeat with all options from Boot and Hardware.
You change nothing, just look at these menus. And on my Eee PC, Wi-Fi is OK when I reboot.
I can not explain why.
Maybe when you go to Hardware/Detect PCI/USB, it "repairs" something.
You tell me if it is OK for you?