Hi @Thomas-Ayotte, I think it's definitely possible to get debian to the Omega, it's just that nobody has done it. Since the Omega has only 16MB of flash storage, you are going to need to strip a lot (probably most) of features of Debian to make it fit. This means stripping many features that make Debian Debian. If you want to retain the "feel" of Debian and still be able to fit it into the Omega, then it becomes a much more difficult problem.
My suggestion would be for you to try out OpenWRT. I've used both distributions in the past, and they are really not that different. You should be able to accomplish most tasks from OpenWRT using similar command syntax than in Debian, so it's just a matter of learning which OpenWRT command maps to which Debian command (i.e. opkg maps to apt-get).