Of course vanilla FO4 wont let you apply Ballistic Weave to the Vault Suit. But do we think this is a BUG or by design? There are plenty of mods to let you do this. Like this one:
http://www.nexusmods.com/fallout4/mods/4052/?
I like to try to keep things fairly lore friendly and balanced.
Also...the list of clothes that get the weave seems pretty random...some hat but not all hats get it. This looks to me like mistakes when someone was filling out tables.
What do you all think?