If the engine in the YouTube clip had the needle bearing problem, which, of course, is completely different from the guide wear issue, and was covered under the GM campaign, then it would make a lot of valve noise but, only from the rocker(s) which had failed bearings. Some of the owners of the cars which had bad rockers, had kittens when they found needles in the oil but they needn't worry as the pieces are too large and are trapped by the screen on the oil pump. All you do is replace the offending rockers then change the oil.
With really bad case of guide wear, all the valves in the engine, of one or both types, will make noise.
The part in the article about Linamar going to 100% inspection was in re: continuing production, not going back and checking heads already manufactured. Linamar was making heads for a while, even after the LS7 went out of production, for GM Performance crate engines and for future replacement parts.
My guess is your '13 is ok, but even if it's not, you don't have enough miles on it to make testing useful. You need 10,000 miles or more on the engine before I'd invest in a preemptive removal to measure stem-to-guide clearance.
As for competency to do the checking...remember, this is not rocket science. The engine is still a Chevy V8 and the methods of checking stem-to-guide clearance are well understood by good machine shops. Any reasonably good dealer can pull the heads off the engine. Any decent facility which does head work should be able to do the measurements.
Of course you could avoid any/all potential problems by taking the heads off and sending them to
West Coast Cylinder Heads for porting. When WCCH does your heads, they'll put in CHE guides and finish them properly.
Also, I just noted your 13 Z06 is 1LZ which is a relatively rare car. What color is yours?
My '12 is a Carlisle Blue 1LZ.