Open rotor will likely win in the end. As the shroud grows so are its drag and weight penalties. BPR 20 is about the end of the road for turbofans. For an even larger ratio of fan/core flow the shroud will have to be ditched in the end. It will be fun to watch how engine companies will argue their engines aren't actually advanced turboprops. In the 1990s they invented new terms for that. Propjet, propfan, open rotor turbofan
View attachment 164265
Note: A fan and a propeller are the same things from a scientific perspective. Both are dynamic axial compressors (the term for machines that add energy to a flow). The word fan came to describe propellers with a high disk loading and a shroud.