Metallica is easy to do yourself. No need for their "proprietary" tones. There is nothing special going on in the tone. It is guitar, amp, some eq in the loop, cabs, occasional efx. Basic efx were delay for leads chorus on the cleans some verb in the mix. The wah wasn't really a thing in the early albums, as it is in every thing since black.
These are all the early tones up to Justice.
The MOP and Ride are very similar tones and these can be tweaked for Ride very easily. I have tried these on my Afx3 and I was able to hit these early tones easily.
I am not a fan of their stuff after Justice, so I never tried. I liked Deth Magnetic because it sounded like Garage days to me and the new Song Lux Aeturna sounds like the old days as well. I grew up listening to Kill em all through the black albums and was opening for these guys and the other biggies (before anyone knew who they were) back then.