I only have a 375 so I can’t physically verify for the 625
When I look at the wiring diagrams for each power supply they seem virtually identical.
This is a screenshot from the 625 manual wiring diagram.
Here’s another link from that same topic with a customer who successfully wired his Miller to run with the THC it has some pretty clear photos
Here’s a good tidbit on some of the machines those lugs are reversed…
Of course why would you want the terminals in 2 3 4 order when you could have them in 2 4 3 order, thanks miller?