I think the Ducks get better exposure in the East than UT does in the West.
That isn't leven close to being true. I've lived on the West Coast, in the Southeast, and in the Midwest. You hear about Oregon on ESPN and such once in awhile but you never get their ABC game unless they happen to be playing your regional team. UT plays on CBS often and they broadcast the same game all over the US. Now the SEC has signed a new agreement with ESPN to replace their Big 10 agreement.
The only PAC 10 team that fans east of the Rockies give much thought to right now is USC.
I have nothing in particular against the Ducks... they just aren't a top tier national program and won't be until they truly become consistently competitive with USC. That's just a bald faced fact.
ALL of the traditional SEC powers are more significant nationally than Oregon... even though both of us might argue they don't always deserve it.
