Is that a canon name for the WoL in Japan?

Question:

Why is Hiroshi a Reaper in Evercold this time? Reaper is my current main job, so I'm delighted!

Answer:

There are two reasons. Hiroshi has grown from a young man into a mature, seasoned fellow, but we have very few jobs left that suit him, which is something we struggle with every time. It is easy when a new job fits, but Pictomancer would be a little difficult. He looks cool as a Reaper, doesn't he? Also, Halmarut teased him, saying, "You could devour everything as well, just like that man," (direct translation of the Japanese dialogue) while looking up at the moon. I imagine that may have stirred something within him. Various fates will befall everyone again in Evercold's story, so please look forward to it. That is all I can say.
Quote from the official translation of the Fan Festival Q&A session with Yoshi-P.
https://na.finalfantasyxiv.com/blog/003910.html