Among other sources I researched when looking for a lever action, I ghosted the SASS group. They are the heaviest users of lever actions. As a caveat, they tend to use the smallest, lightest cartridges and lightest loads possible for speed and to save on ammo and reloading costs.
For 357 magnum, the 1873 is probably best. It doesn't need the strength of the 1892 action and can be sent out to be short stroked and smoothed out or you can buy the kits. Lots of SASS shooters use these and the 1866 for their 38/357's because the are so smooth and can be made very fast.
I prefer the 44 so all my three levers actions are either 1892 (2) or Marlin 1894 (1). The 1866 and 1873 can't handle the pressure of these loads. Both actions can handle the heavier rounds because of the two locking lugs that come up through the bolts. If you get an 1892, Steve's Gunz is an 1892 specialist for working on the actions. Rossi makes a very credible 1892 for a reasonable price. I think it was a third of my Miroku/Winchester 1892. Comparing the 1892's to the Marlin 1894, the 1892's are easier to carry but the Marlin is much easier on the shoulder. No one wins with the 1894 so if speed is your goal then this isn't the one you want. But the Marlin is drilled and tapped for optics. Don't really know how it will fare under Ruger. The one major weakness I've heard of the 1892 is the plastic mag follower breaking down and binding the mag tube up. It's not a matter of if it will fail, but when it will fail. Steve's Gunz sells a metal follower.
The Winchester 1894 was designed for rifle cartridges and the inherently long stroke when chambered for a pistol cartridge with half its insides hanging out isn't really appealing to me.
I'm not familiar with the Henry's other than I hate tube fed magazines, even in 22's. Also, one instruction I found interesting was to angle the gun when dropping cartridges down the tube magazine. I hear they are well made in centerfire and some now have loading gates. I don't know if anyone works on them.
