My guess is that would be the natural order of things for a strong nino; a strong STJ, setting up an Alaskan or western trough (of doom) with an eastern ridge. It'll all come down to the forcing and the jet location as it usually does, but my assumption with a strong nino we tend to get strong STJs that extend too far east, and thus that height pattern that ridges us in the east.
I guess there's always some index or atmospheric element that could limit the jets extent east and save us, but my default guess is an extended jet more than not in the winter.