I could be wrong on this as I only shoot the 500 grain 458WM and the shorter 45-70 bullets out of my 458WM. I only use the shorter 45-70 bullets in my 45-70.
To hopefully and correctly answer your question 45-70 bullets are shorter in length than the 458WM / 458 Lott bullets, although they are the same diameter bullets.
Without actually being able to measure the difference, if any, between the lengths these 2 bullets, I can only guess that the 458WM 350 grain bullets are longer than the 45-70 bullets. Since the 45-70 is a shorter brass than either the 458WM and 458 Lott, which safely staying within powder charge weight and SAAMI pressure limits of the 45-70, it's most likely the 458WM bullets will have slower velocities in the 45-70.
If the reloading powder charge for these bullets doesn't fall within the manufacturer's bullet performance velocities for these bullets, then the bullets will most likely fail to preform properly.
Having said all of that. If the bullet lengths are the same then there shouldn't be any problem in using the 458WM /458 Lott bullets in the 45-70 so long as the reloads are within SAAMI pressure specs and within the manufacturer's bullet performance velocities specs.