So, some random bystander person says in a video posted on Telegram that they are giving out weapons without documents, while the actual military official in charge says that they tie serial numbers to passports. Not trying to say that the officials never lie, but the level of credibility of those two claims is tilting heavily towards the military official for me.

And regardless, that specific point isn't really a concern (to me personally) when it comes to literally having to defend livelihood of your family and the city against an invading force.

Why don't you go tell them they're doing wrong yourself? They're probably not reading HN. Go volunteer to record the passports and documents while the enemy is on the horizon, and post videos so we can all watch and make sure you're documenting properly.