A lot of people want the Odyssey to have survived, but I'd rather its demise be true. Seems like a crazy theory to me.
As for another crazy theory, Ted probably has a clone, right? He had the ability to override GAIA, so why not greenlight his own clone. Or, better yet, why not do some genetic manipulation - which was probably feasible at the time - and create someone as close to a clone as possible without being obvious. Aloy was clearly the spitting image of Elizabet. She looked the same, sounded the same, and had similar attributes. What if you could eliminate those first two similarities through gene manipulation. You could retain the same level of intellegence, drive, and ambition without being obvious.
Sylens is a Ted Faro.
Either that or a true Faro clone is responsible for the signal, but I think the Sylens story is more fun.