Gas turbines in 1920s battleship design

Would gas turbines be useful in a 1920s battleship design?

Yes, because of their power density, but reliable use would require earlier advances in metallurgy and jet-engine development.

A gas turbine would give a 1920s capital ship a denser power plant and potentially more speed or internal volume for the same output. The limiting issue is not the basic attraction of the machinery but the metallurgy needed for reliable high-temperature operation. The era already supported sophisticated gun metallurgy, so focused development might close part of the gap if designers had a reason to pursue the system. That pathway also requires the jet engine and its supporting technologies to arrive earlier. Transferring a headline invention only works when the materials and industrial ecosystem can sustain it.