Hemolysis is not even strictly limited to mechanical valves. Although uncommon, it can happen with a tissue valve, or even a repaired natural valve. There are prior posts about that.
A certain amount of hemolysis is to be expected with a carbon (mechanical) valve. However it's rarely even close to being of any clinical significance. A current generation valve, such as the On-X, ATS, or Sorin (Sorin is not available in the U.S.) reduces the incidence even more. They have special pivot points and "soft" closures that reduce the pinching of blood cells as they pass through. The St. Jude carbon valves (including the Regent) and the Carbomedics valves do not make specific claims for low hemolysis.
However, St. Jude has had the lion's share of valve replacements for years, and there are very few people having problems with hemolytic anemia on the site, so I'd be reluctant to say the St. Jude valves are not good that way. I'd be more likely to say that anything that has a better hemolysis rate than the SJM is a really great valve for low hemolysis.
Having multiple carbon valves does raise the stakes for hemolysis, but it's still a small subset who develop it to a degree that is concerning.
Best wishes,