I suppose that is possible that the OBJs aren’t actually georeferenced themselves. This GIS StackExchange question/answer seems to imply the same.
From briefly looking over the Wiki about OBJ, it doesn’t seem like the spec was designed to hold any CRS and is based around a local (0,0,0) coordinate system. I suppose you could translate that, but I’m not sure how.
Looks like Pix4D handles this OBJ limitation by writing out an offset file: