Wow! Don't think I've ever seen a chain sharpened to the point of having the teeth as short as that Granberg video! That one is to the point of the trash bin in my book, but obviously will still cut well!
Since you have a bunch of old, probably well-worn chains, I think you will be happy with the power grinder. Manual filing of really bad teeth, even with a sharp file, gets tedious after one or two chains worth.
The Granberg looks terrific - it duplicates exactly what I do freehand with a Dremel. Just still be careful to not use too much pressure for too long such that you overheat the teeth.
Oh, and regarding the chain cutting straight through a log - I'm not convinced that this is solely because of uneven tooth lengths. I have sharpened chains where a couple of teeth have been badly damaged by hitting barbed wire, so required grinding down shorter than others. The chain still cut just fine. I think that consistent "hook angles" between the teeth on opposite sides is more critical, and the Granberg should ensure that.