Update:
Okay . . . Manual setting of the IP address seems to have worked. On start-up the scope automatically connects to the WLAN, it syncs the clock and when needed, the computer web browser works.
I had originally set the IP with the DHCP On, turning it off after saving. This didn't appear to be correct; when booted up the scope accessed the WLAN, but the web browser still didn't connect.
The second time, when in the WLAN I/O page, DHCP was manually turned Off, then the IP was set, and saved. Pressing the "Connect" soft key linked the scope to the WLAN (SSID and PW has been set previously). I noticed that the connection is completed very fast, as is the web browser, when needed. I believe someone mentioned faster remote operation with the DHCP Off, and that seems to be the case for me as well.
Questions answered, and all good now.