Additionally, the New Glenn fairings are very large for their weight capacity. New Glenn has 3x the fairing volume compared to the Falcon Heavy, but can throw less mass. So many expected that BO designed it this way because they expected to increase performance of their engines in the future, making the weight/volume ratio of their fairing more balanced.
New Glenn has 45t of capacity now. Increasing thrust by 15% should increase that to 51t, thus making New Glenn 7x2 also just barely a Super Heavy booster. Perhaps they didn't call that out because that would overshadow the 9x4 announcement.
To be fair, the Falcon Heavy has way too little fairing volume for it's lift capacity (and apparently it is in the process of getting an extra 50% or so?)
The small size of the Falcon Heavy fairing is probably due to the fact that they are the same size as the Falcon fairing, and it was designed when Falcon could throw < 1/2 the mass it can currently throw, let alone the Falcon Heavy.
BE-4 is 140 bar chamber pressure vs SpaceX Raptor 2 at 350 bar. Thrust to weight of BE-4 is 80:1 vs Raptor2 at 140:1.
I don't think the capabilities are as different as those numbers imply. I believe that it's due to the conservativeness of Blue Origin and SpaceX's willingness to blow up hundreds of engines on the test stand to iteratively push the margins.
BE-4's chamber pressure is low for its design, but it would be very difficult to increase it to Raptor's levels. Full-flow staged combustion causes the propellants to be gasses when they enter the combustion chamber, and chemical reactions in gasses happen more quickly, allowing for efficient combustion in a smaller combustion chamber. The smaller volume makes it easier to contain higher pressures.
Increasing thrust by 15% doesn't just increase payload by 15%. I don't know a simpler way to estimate this than to run a simulation, and I don't have one with numbers I can toggle.
Blue Origin is matching from Raptor 2 to Raptor 3. Comparing thrust at sea level, lbf:
Raptor 2 | 507,000 [1]
Raptor 3 | 617,000 [1]
BE-4 | 557,143
BE-4' | 642,857
BE-3U | 160,000
BE-3U' | 200,000
News at 10
FYP as it's rather worse than you framed. I'm happy to see more competition in space, because I think it's the single most important domain for humanity. And Blue Origin is making some rapid improvements, but people are dramatically overstating both this and their history/role in space quite significantly.
Blue Origin was founded before SpaceX, back in 2000, and only managed to send a rocket into orbit this year, 25 years later. They remain a complete nonplayer that exists only through the good fortune of endless and clearly unconditional Bezos bucks.
Now if they can keep putting out some good results, ideally start producing some hardware that can compete in terms of price and capability, and generally scaling things up - then I'll be the first to sing their praises. But we're still quite a ways away from that point for now.