You have to dig a bit deeper in the Netgear 7550 for the diagnostics, logging feature, but it's there.
As to if the wireless features can be turned on/off remotely, yes it can, but the person would have to have network access to the modem, the web based GUI IP (192.168.254.254,)your acct. login & password to change any settings. Since that is doubtful, I'd recommend checking this thread concerning the firmware update addressing wireless connectivity issues.
Thread URL: »
[DSL] Netgear 7550 Wireless issues Firmware update V.06.05.02 .
This was one of several that had a working link for the firmware update.
I haven't used any Fedora / Linux OS's in some time, but I have fiddled a bit with the latest flavors of Ubuntu 13.x (32bit & 64bit) and it plays fairly nice with wireless as well as hardwired connectivity.
I flashed the firmware in both of the latest frontier branded, Netgear 7550's as well as the previous westell 7500 as more a precautionary process, not that I had any issues, but prefer to have the latest firmware that's available in case I have to take my Actiontec GT784WN ADSL2+ Modem/Gateway out of service and use one of the, IMO, inferior 7500 or 7550's.
I hope this helps get you pointed in the right direction and can avoid the call to tech support, or a response from FTRTech.