I don't understand why they ask for a NDA. Are they going to share some secret info with you? IIUC the info flows in the other direction.
My co-founder is rightfully concerned that the NDA terms we've been sent are too lenient in case of information leaks. We work in a competitive drug development space, and any information leaks to a large pharmaceutical company could cause significant harm to our business. We are far from idea stage.
The expert appointed by the fund is currently an academic, but with some clear connections to the pharmaceutical industry.