I actually get over double the yield with my champion juicer than from any press I've used. 80 lbs of apples got me 5.5 gallons of juice in about 4 hours with my juicer whereas 220 lbs only got me 6 gallons in about 8 hours with the first press you linked (https://www.amazon.com/Weston-Fruit-and-Wine-Press/dp/B000JL0G4K). I used a home made drill-attached grinder in conjunction with that press as well.

Another gripe about that first press is that as soon as you start getting any resistance in the torque mechanism, the entire press wants to twist as well. Unless you find a good way of bolting that thing to the ground so it doesn't move, you have to fight with that as well. Looks like other people have had similar issues based on a quick glance at the amazon reviews.

Just my personal experience though.