Back around 1980 or thereabouts I purchased some reconditioned files for about 1/3 rd of new price. Where from I no longer recall, possibly via Brer Whistons log loving cat. They seemed to work well. Bastard and mill cut types as I recall it so rather coarse. Big ones too 12" long or so. Allegedly process gave an extra 50% of life. Which I'm not going to disagree with. On reflection I may still have a millcut one about the place.
According to my then boss these would have been done electrolytically with the file suspended opposite a flat metal electrode and effectively reverse plated. The long sides of the file tooth lost material being able to "see" the electrode whilst the undercut side was hidden and pretty much unaffected. Strong acid with some additives needed I think to ensure the material stayed hard and wasn't degraded by the process.
Research in Model Engineer (I think) uncovered the simple dip in acid process. That clearly relies on the acid in the undercut being trapped, rapidly becoming exhausted whilst that on the long sides is able to flow away and be steadily refreshed. Clearly a much slower and less controlled process. As I recall it he sweet talked some strong acid out of the chemists and gave it a go with "worked, sort of" results which was more than the chemists predicted.
Conclusion was "not worth the palaver of messing with strong acid" but it might be possible to fine tune a working process for coarse files. One for the interesting but life is too short file methinks.
Can't see a weak acid doing anything beyond possibly chemically deep cleaning the files. Process clearly needs to be fast to maintain a good differential between eating the long and short sides.
I'd hazard a guess that most home shop reported success is more cleaning tiny swarf particle build up off the tooth tips than sharpening.
Clive