The rotary grater I tested is a Zyliss and it's about twice the size of my other, older rotary Zyliss. It came with two drums, one of which has holes a little larger than the largest holes on a normal box grater, which I think is great because I can get the larger shreds that I also prefer without fear for my knuckles. It also has a larger hopper so that I can grate larger pieces of cheese, but ergonomically, it has issues (at least for me) because, since it's so large, the thumb rest is too far away from the drum, making it difficult to put proper pressure on the cheese. Larger hands might have an easier time of it. But, other than that small problem, I'm very happy with it for grating cheese for pizza. As you say, I really think it's better with coarser strands of cheese, otherwise it all just turns into one molten pile of glorp. You may as well put sliced cheese on!
I'm sending this link to the grater on Zyliss' website, but not sure that it will bring up the grater page directly as it appears that the site doesn't give a separate URL to each page, so, it is item # 11355 under United States products if the link isn't direct: http://www.zyliss.com/
I'm happy to see that it shows the price as $5 less than I was told a couple of years ago when I tested it. Here's a link to it on eBay: [ Anonymized URL Blocked ] where it's selling for the price I was quoted. I really think you'd like this compared to hand dicing all that cheese. I don't think it makes shreds as large as the Hobart can, but it's certainly larger than any other home grater I have seen.