If you can grow IBs, it should be easy to grow MTBs.
The difficulty with growing medians in warmer zones traces back to Iris pumila. To greatly oversimplify things, Iris pumila is native to steppes and mountainous areas of eastern Europe and it struggles in hot humid environments. Again grossly oversimplifying, SDBs originally got about half of their DNA from Iris pumila and half from TBs with IB's getting about a quarter of their DNA from Iris pumila and the rest from TBs. This pumila heritage is why SDBs and IBs bloom before TBs and it's also why they generally do better with colder, drier weather.
However, MTBs typically don't have much, if any, DNA from Iris pumila. MTBs mostly trace back to TBs and the species they were derived from like Iris pallida, Iris aphylla, and Iris variegata. They'll grow under a wide variety of conditions, but do best with the same Mediterranean climate that TBs thrive in.
