I am also fairly new to wine making. I made the WE Lodi Ranch 11 Cab earlier in the year, per directions,and it's been bottled since August. Based on your question and my impatience, decided to crack one to see how it's doing. It smells pretty good, although detect a similar "nose" in the WE kits I've done so far and think that's what some people have referred to kit taste (KT). It tastes quite good and think with more months on it believe it will only improve.
It does appear to have more body than the Pinot Noir and Merlot kits I made, which were from the less expensive Origianl line in WE's kits. I have two Cellar Craft LE kits in carboys that had the crushed grape packs with them and think that will offer the type of complexity you're after. I know WE has a couple kits with those, also and just think there is an added measure the grapes/skins offer in terms of body, tannins, etc make a big difference.
I can't wait to get the CC kits in a bottle, but am trying to be patient with bulk aging, etc. Patience is hard to come by for me with this hobby. It's made me a bit OCD and I just keep buying more kits to try them, get them through the process (patiently) and into the bottle so I can see what's working and what's not.