Indeed it is, mainly in the West but not everywhere. The concept of illogical as the opposite of madness comes from the long philosophical tradition which culprit was in the 18th century, the century of Enlightment and Reason. Then, illogical means irrational, emotional, intuitive, imaginative and any other state of mind or idea that didn’t fill the logical criteria.
However, life is not logical.
If one has to apply logic in their day to day life, it would appear this way: wake up, work, eat, sleep, wake up, work, eat, sleep etc. again and again in the same repetitive actions for the next decades. Taken to this level, life in itself is put aside.
The most beautiful moments happens outside of logic, in moments of foolishness and carelessness. If love has to be seen through the eyes of logic, it would become the most idiotic human experience. Call it madness, love is the most beautiful !
To call madness anything illogical is to step out of life because there is a dimension (if not dimensions endlessly stretched out) beyond logic.