Heat applied to the very ends of the file teeth will harm the original heat-treat. Those thin/narrow edges edges will take the heat first.
The acid etch does work - some. It eats the metal back a bit along those file teeth. But with a case-hardened file, it also removes a bunch of that high carbon hardened layer of steel on the teeth.
Every now and then, I run some of my files over to the wire wheel for some cleaning. I go with the direction of the teeth instead of across them. It does the same thing as a file card, but is a little ... rougher ... on the teeth.
And I've also used a chunk of copper buss-bar to rub along the teeth to remove some stubborn chunks. The teeth quickly press down into the copper, and it then "burnishes" the teeth edges as it pushes out stuck bits.
Unfortunately, files are just a ... consumable supply. They wear out and the teeth get dull. Just a fact of life. I just move them on down to use on softer material as they stop cutting well on whatever current material I am filing.
Just my humble thoughts to share.
Mikey - that grumpy ol' German blacksmith out in the Hinterlands
p.s Now, try hand-cutting your own file. And they see how ... jealously ... you guard its use!