TAA operated the Convair 240.
Ansett operated the 340 and the 440.
The last airline Convairs were the two 440s operated by Airlines of SA and neither had weather radar when retired in 1973.
As for the two RAAF aeroplanes, I can't find a photo of A96-313 with radar and I can't find a photo of A96-353 without radar. This surprises me but Centaurus should know as he was the last person in the RAAF to fly both aeroplanes.
Rgds