Well... now I know what the WiFi network was named...
The messages you assumed were indicative of the firmware downloading "updates to itself" are harmless log entries generated when your phone attempts to connect to a network that it's already connected to.
Here's a quick grep of my device's log as of just a minute ago:
Code:
$ cat Dev*.txt | grep "Already connected to"
Wed Dec 10 23:49:14 unknown configd[1001] <Notice>: WiFi: Already connected to MB.
Wed Dec 10 23:49:31 unknown configd[1001] <Notice>: WiFi: Already connected to MB.
Wed Dec 10 23:49:58 unknown configd[1001] <Notice>: WiFi: Already connected to MB.
Wed Dec 10 23:50:12 unknown configd[1001] <Notice>: WiFi: Already connected to MB.
Wed Dec 10 23:50:42 unknown configd[1001] <Notice>: WiFi: Already connected to MB.
Wed Dec 10 23:50:58 unknown configd[1001] <Notice>: WiFi: Already connected to MB.
Any guesses what my WiFi network's SSID is?
Your screenshot indicates three things:
1) You were connected to a network with the SSID of "Apple".
2) You jump to conclusions.
3) You didn't actually analyze the network traffic before making claims that the iPhone "phones home."