I have the Genie and 3 Genie Minis (HR44/500) and (C51-100) in my install. The tech installed with wireless internet settings enabled and the unit worked for a few hours and then lost connection. I went thru endless reboots of the HR44/500, gaining connection back with each reset and then losing again after 1-2 hours. Many forum postings have covered the unreliable wireless internet connection of the HR44/500, thus I decided I wanted to go 'hard wired' with an ethernet cable instead of using wireless.
After a lot of research on this forum, I chose to perform a "Reset Everything" from the Settings menu. This completely erases everything from the system memory (including wireless setup which I could not get to go away in any other form of reset). Don't worry about your satellite dish settings they are not erased, but otherwise this action causes a starts up like a new receiver. NOTE: All recordings will be erased from the hard drive when you do this! I didn't have many recordings yet, but if you do, you should be aware you will lose them.
I plugged in an ethernet cable (connected to my Apple Airport Router) to the ethernet port on the HR44/500 upon boot up and then the system recognized the Ethernet connection as the active connection. There was no wireless settings, thus it did not try to engage wireless which is what i wanted. I now have a solid internet connection that has not dropped in the first 24 hours ... big difference from wireless that dropped every hour.
Note, the MAC address of your ethernet connection in the HR44 is not the same as the MAC address of the wireless connection in the HR44. If you are performing any DHCP address reservation within your router setup, make sure you use the correct MAC address for the ethernet. You can find this MAC address on the Settings&Help>Settings>Info&Test menu within the HR44/500. I chose to reserve the IP address for the Genie HR44/500 in my router (eg. 192.168.2.13) so that it never changes and always stays on same IP. I read many forums that suggested this for stability of network services.
So, my recommendation after many hours of troubleshooting is to go hardwired with ethernet and reset your hr44/500 so that it wipes out the wireless settings and ensures the box doesn't try to connect to an UNRELIABLE wireless internet connection that plagues the HR44/500.