As far as I know, if he said it was filed, it was filed.
For some examples, I know F3's (transfers in) were taking 5 months. I know of a large batch of cans that had F3's submitted and the NFA branch was taking forever to process, so much so, that the distributor called to inquire as to what was up (they are out of state, obviously). Apparently our NFA branch in WV is a bunch of window licking, crayon eating, helmet wearing, idiots (not using the word I want to use). In addition to those F3's, a few F2's were paper filed (since e-file was down) and after a few months, no response, e-file came up and those same F2's were submitted using the electronic system. The electronic filing returned in 24 hours, with no response on the paper filed versions, going on about 6 months. Long story short, our branch is either incompetent or they are maliciously delaying forms, that is the only plausible explanation.
The NFA game has ALWAYS been a waiting game. Over two years ago, when the system (paper) wasn't overloaded, a can/sbr/etc could take 6 months to 10 months to get approved. After the stupid happened, that time table expanded to 8 months to 18 months, with no reasonable explanation or method to correct or track. E-file completely ruined NFA processing, both from an expectation perspective and also because forms were lost. This isn't just at our branch, but also in other branches. A business in TX is having similar issues with forms submitted via e-file. The expectation that it's a simple click of the mouse and your form will be approved in a day or a week or even a month are radically unrealistic. But, everyone seems to have the expectation that this is the norm, it is not.
If you want to get specific answers or insight, I will try and answer them as best I can.