There isn't anything that the 444 can do better than a 45-70 provided you don't buy the weak 45-70 offerings from Rem, Win, or Fed.
For factory loads the Garrett, Buffalo Bore, and PMC+P offer more energy than the 444. The PMC load has the advantage of only being the cost of the loads from Winchester or Remington, but the performance of the Garrett & Buffalo Bore Loads. Expect around $21/box for the PMC, around $40+ for a box of Garrett.
If you handload, the 45-70 can be pushed in lever-guns to 450 Marlin level, which is around 500 ft/lbs higher than the 444. For modern rifles the 45-70 can be pushed to over 4200 ft/lbs of energy, which is on par with the 375 H&H !
This CANNOT be safely done with the 444.
The factory 45-70 bullet weights start where the premium 444 weights stop (300 grains).
Anything the 444 does can be done better (A LARGER HOLE) with the 45-70 !!!!