Greetings. Most Traktor users pair it with a Kontrol S2/4, and there’s a good reason for that. It’s notoriously difficult to get other controllers working due to Traktor’s difficult and complex midi mapping editor, and if you noticed, the map you downloaded says “basic”. Delete cue isn’t mapped, only two decks are mapped, etc. You’ll have to do a lot of reading and experimentation, and essentially roll your own. Here’s a link to NI’s Controller Manager guide:
http://www.native-instruments.com/knowledge/questions/818/How+to+use+the+Controller+Manager+in+TRAKTOR
fwiw – took a quick look at the 4set, not sure it has enough controls, you might need an additional small controller to map everything you want.