That's the thing with describing smells/oils with these terms, everyone has a bit different understanding. Indeed quite often one can read about 'medicinal' when it comes to oud. When I use the term I'm also usually referring to a sort of herbal, band-aid smell. Not medicinal as in cough syrup (even tho, I've smelled oud with that note too). I do find that TWR and TW1990 (which I own and am more familiar with than TWR) both have a slight medicinal vibe to them in the opening stages.
Anyway, TW1990 is one of my favorite oils ever and certainly one of my favorite EO oils. While I enjoy EO's organic oils, I'd say one can find similar quality for even prices with other vendors. The wild oilds, legends and Oriscent oils are definitely EO's strong suit. Some of my favorites are Green Papua (just snatched one of the last bottles from the latest batch), Oud Mostafa, Oud Arafa, Oud Ebrahim, Hailam Kilam, Borneo 50K and the Tigerwood Royale and 1990.