Yeah, it's a shim and bucket setup. So it has solid 'lifters' (typically called tappets in this configuration) with a shim of a specific thickness between the tappet and the valve stem to adjust the clearance between the cam lobe and the tappet (the valve clearance).
This is a high performance setup as the cam acts fairly directly on the valve and doesn't go through a rocker arm. fewer moving parts, less inertia, faster revving and more direct valve action. It also makes for a fairly easy dual variable valve timing setup.
This system has been used on a lot of engines but unfortunately, at least in theory, it does require valve clearance checks and possible adjustment. The clearance check isn't so bad but if any clearances need adjustment, the cams have to come out and the proper thickness shim placed under the tappet to get the appropriate clearance.
I do remember seeing a valve clearance check in the maintenance schedule but I can't remember what mileage it was at. In practice, if you do regular oil changes with quality oil, it probably won't ever need adjustment (but it's still good to check). If it ever does need adjustment, it will be quite an expensive procedure.
As far as tappet noise goes, I haven't noticed any on my car. other possible sources of noise could be the timing chain or minor piston slap when cold. Again, I haven't noticed any unusual noise from my engine at all on cold startup.
Hyundai and Kia have been using this engine in various forms for several years so any issues should be well known. It might be worth a search. Also keep in mind that older issues may have been solved with this most current generation.
While doing a quick Google search, I came across this video from Hyundai. Interesting.
In theory, a little lifter noise isn't going to hurt anything. It just means there's a little extra clearance..perhaps on the larger side of the spec. a little too much clearance is better than not enough in this case. Obviously, if it's really bad bring it to the dealer and have them check it out. All the Stingers are under warranty so at least you're taken care of if it's an actual problem.