widgeon,
The Carson web site says they get 2000 lbs more lift for the same power (about 10% more thrust). With that increase, they would just about equal the raw lift of the EH-101 or the S-92.
We would have to see the flight manual to see if that is an across the board increase, or just a spot point where it is maximum. I would suspect that the flight manual charts would be published on the web site if it were truly a blanket +2000 lbs.
Remember that the rest of the aircraft needs a bit more maintenance, and the parts are getting hard to find. Also, the level of safety in the design is of the 1960 vintage. These factors all weigh in. We find the popularity of the S-92 is associated with the increased attention to safety and redundancy, a by product of the newer design and the lessons learned in the intervening 45 years since the S-61 first flew.