Taking a quick 'peek' back through one of my hunting albums, I shot my first Moose with a 444S using factory Remington ammo in 1971. I am now on my 2nd Marlin 444S. Foolishly, I got rid of my 1st, kicked my butt for doing so and picked up another.
While not known as a long range caliber, it is an adequate and solid performer on Moose and Deer sized game comfortably out to 200 yds. In my estimation, the factory 240gr load left something to be desired and while it would do the job, I found handloads using the Hornady 265gr FP's to be a considerable improvement. In addition, I've been using a couple of cast bullets, a 250gr SWGC and a 325gr SWGC, and that adds another enjoyable chapter to shooting this caliber.
The 444, while similar to the 45-70, is a separate entity and is like comparing apples & oranges. I also have and shoot a Marlin 1895GS in 45-70. The 45-70 offers a step up in bullet diameter and weight, sort of like a 300WM and a 338WM. Both are great, but slightly different.