My personal opinion is that in the long run the bridge will need to be built and probably will be built at some point. From what I have been told, INDOT already has their share of the money for it (held back from Major Moves), although that information is second-hand and could be wrong. Kentucky is who has the big money issues, and their share would be the majority for this section of roadway and bridge.
Once I-69 connects to Indianapolis from Evansville, or at least gets to Martinsville, and once most or all of the designated Parkways in Kentucky have been upgraded to I-69 and signed in the field, the pressure would start to build to fill in the gap with the new bridge and connecting roadway. My guestimate is that could take another 10 years or so from now. Also, by then increased congestion/poorer condition of the exisiting bridges would make a parallel toll bridge more attractive for motorists.
In other words, until I-69 has enough continuous segments opened on both sides of the bridge, I don't see the need for that bridge to be constructed within the next 10 years. However, I do hope KYTC is able to protect the corridor for the preferred alternative that was identified in the incomplete EIS. Because I think at that point, Indiana and Kentucky will get serious about buiding that bridge.