I too have the Wega Conik, and it is indeed a rebadged K-10 Conic. Great grinder, though not as slick as the Pro Barista.
Let me add a couple of differences that I've noted vs the current production Pro Barista, and what they've meant to me using the grinder.
1. As earlier poster indicated, the Wega has an flapper and microswitch housing sticking out over the top of the doser. The flapper is easily removed, but the housing does impact cleaning access to the throat somewhat.
2. The Wega's I've seen all have the black plastic rocker switch, which I like (no reliability info here), and a black plastic fork, which I don't like as much. Will replace with the polished aluminum at my first opportunity.
3. As earlier post indicates, the Wega does have that cast nose sticking out to support a "tamper". The piston part is easily removable, the nose is part of the doser casting and not easily removed. I now only find it a minor annoyance, though initially I found it got in the way of watching the dosing process. Sadly, this part doesn't seem to be sold separately, so changing it would either require careful surgery with an angle grinder or replacing the entire lower doser assembly.
4. The Wega and standard K-10 both feature a one-piece upper shroud and doser lid. It is removed just as easily as a standard hopper lid, but leaves the upper part of the grinder housing looking a bit unfinished. (Note that this is a cosmetic issue only, there are no internals exposed when you remove this piece). This also means that the doser lid is pretty useless as a "purge dish". Fortunately, the Pro Barista version's 2-piece upper shroud and doser lid are available as parts, so you can buy them if it bugs you.
I'd absolutely buy the Wega Conik again, while it is still available. If you notice, this grinder is no longer shown on the Wega website...
For the record, a full parts schematic for both grinders (the stock K-10 and the Pro Barista) are visible at
http://www.compakgrinders.com/en/areaclientes/0501.htm. My Wega Conik looks exactly like the Max 8.0 shown here:
http://www.wegausa.com/espresso-grinders.php?p=7. To my knowledge, Compak basically uses the same cast housing for the K-10 Conic, K-8, and K-6 grinders, with the differences being internals.