Although the modern Low Walls are identical actions, they are made of modern stels, of higher strength, plus they aren't 100+ years old!
The new Low Walls are chambered for much higher pressure cartridges than the old ones were, but they can handle it. Not sure about the .444 Marlin, as that sure leaves very little metal between the threads and the receiver!
I have a few rifles in .32-20, including an 1892 vintage Low Wall, and I love that caliber. It's great to shoot, accurate, and easy to reload for.