Your second link explains the main types of juicers. Here's another page with much the same information, including links to various brands of juicers.
- Centrifugal juicers first grate the food, then extract the juice by spinning a strainer basket at high speed.
- Masticating juicers use an auger in a sleeve to chew up the food and extract the juice by crushing it.
- I'd never heard the term "triturating" before this, I thought these were simply called twin-gear masticating juicers. In any case, they also chew up the food, and extract the juice by crushing it, in this case between the two interlocking gears.
I had to go to the fourth page of your Amazon to find the current version of the juicer we bought 14 years ago - the Angel One. It's a twin-gear juicer, cost us over $1000 at the time, it's REALLY heavy, but it does work well. Most reviews of different juicers say that a masticating type will extract more juice than a centrifugal and do it with less friction heating. I don't know if heating the food while extracting the juice is really an issue, but our juicer really is excellent at getting all the juice out very quickly. The pulp that comes out is very dry, although I tend to run orange or grapefruit pulp through a second time to get every bit of juice out.
So, like many things, there are some advantages to the very high-end equipment, but in addition to the $$, there are other trade-offs you have to think about before going that route in a juicer.