OP, I picked up a NIB Hammerli Xesse Sport a few weeks ago. My second Hammerli. The two stage trigger on those guns are great! Two different forces (pull weight) to contend with and the feel of both stages is outstanding. At the time I picked up the Hammerli from my LGS, he had just received a NIB S&W Model 41. So, I bought it, too.
A few weeks before that, m/b a month and a half ago I'd bought a Ruger Mark iii Hunter TALO model, 5.5 inch barrel. I equipped it with Volquartsen Accurizing Kit. I been shooting the Hammerli and the Ruger using C-More red dots; and, the Model 41 with a Burris FastFire lll. All three guns are very accurate. I've been getting the best results with the Hammerli. I feel it's because of the trigger control with the two stage trigger.
I have to mention I've been shooting an identical Model 41 for over two years, so I'm really adjusted to a Model 41.
And, to show my feelings for two stage triggers; I just installed one in a LWRC IC M6 SPR, an AR clone. My shooting buddy and I were shooting rifles on Tuesday; he has three AR's. He wouldn't believe how much better the M6 shot. It was shooting 3/4 inch groups; IMO simply because of trigger control.
I think two stage triggers excel at target shooting; and probably in sniper work. Sniper work is just a guess on my part.