I do believe that predictive analytics (non domain specific) can be leveraged to improve the optimization of databases and data storage systems, and do some extent that's been around for decades; like read ahead i/o caching and statistics based execution plans for example. We'll probably see AI features baked into the RDMS engine itself, and the role of the DBA will be to educate ourselves on the internals of how it works and tweak the knobs.
"Do not seek to follow in the footsteps of the wise. Instead, seek what they sought." - Matsuo Basho