Hey, Godflesh is more-or-less industrial on their earliest records.
I'd say it gets confusing, but the earliest albums, Godflesh and Streetcleaner, are only post-Industrial by use of machine rhythms, and the primitive nature of the machine is what gives them even that. I was neck deep in rivethead nonsense back then, and they weren't in the same class as even the guitar-driven stuff like Ministry.
Matter of fact, if you listen to Fall of Because (Ben Green and Justin Broadrick), you'll see that even when Justin was using real drums he still aped machine style playing.
After that, Slavestate through Selfless I'll give you the dial goes more to post-Industrial with metal, but after that it's almost album by album whatcha get.
I love Godflesh but their albums are always mixed with that hollowness that irritates me.
Somehow, I've never listened to an entire Jesu album. I start and then figure, "why not just hear the real thing?" and put on a Godflesh album.
The other one that sticks out is Sisters of Mercy which has always all machine no human and it never really stood out so much to me..but maybe back then I didn't really care so much.
My point is, you are not getting "Ginger Baker in-a-box" you are getting a programmable metronome.
I know it's not a "drum machine" persay, but have you heard what you can do with an iPhone and Garageband now? I still don't really know how to work it, but it will literally give you an semi-intelligent percussionist (cue the drummer jokes) who, while it can't improvise, comes up with a drumline autonomously.
Drum machines are perfectly cromulent replacements, and in the words of KMFDM, "it's done by machines 'cause they don't make mistakes." Heh.