I think they do, don't they. I'm sure I read that drugs companies send people out to find "new" herbal medicines that might be turned into usable drugs.
There are some companies that specialize only in Ayurvedic products...but they are mostly about toothpastes, shampoos, face creams, soaps and so on.
I was talking about researching on the whole gamut of Ayurveda in general. No individual company would do that. It involves not just translation of ancient texts such as Charaka Samitha or Sushruta Samhitha.
Ayurveda has developed differently in different regions over the centuries to suit the availability of herbs locally. The Himalayan system for example is quite different from the deep south Kerala system. Even within a region, different traditions could be followed by different schools established by different practitioners over the centuries (Kottakkal and Warrier for example). And each of these could be in a different language. Some of it could be transmitted through oral tradition and may not even be available in writing.
Acquiring all these relevant texts, translation, identifying the herbs (which could run into thousands), cataloging, clinical research on their individual efficacy, preparing the drugs using modern methods....etc. etc....all this is a herculean task that no individual company will undertake.
The Indian Govt. has set up a department specifically for such matters. They seem to be doing something.