The maximum log brightness range of a print -- any print -- is at best about 2.2 - 2.3.
How you fit the subject brightness range onto the print brightness range is part of learning to make good pictures. Use the wrong technique with the wrong subject, and the Zone System and HDR are equally crap. Do it right, with the right subject, and they're equally good.
One difference is that more people put more effort into the ZS, working around its limitations and carefully considering the aesthetic result. With HDR, it's easier just to push the buttons and rely on the software. But there's still an awful lot of trash with both systems, because too many people regard photography as only a technical challenge, for sharper lenses or longer tonal ranges or both.
So God isn't in either. If She exists, She is in the photographer's eye, brain or heart.