Not sure what might have caused it. Here's what I've done:
1. Installed Type3 Body and Armor replacer and BEWARE OF GIRL Type 3 HiRez HiDetailed Replacer. Both seems to work fine so far.
2. Installed Anthony Lings Coiffure. Seems to work fine - used "showrace menu" to change hair/eyes on PC.
3. Installed Fallout New Vegas ArchiveInvalidation Invalidated! as well - and Fallout - AII-FNV!.bsa is registered in the ini. Seems to work fine.
4. I also used FaceGen Exchange to import a face from one downloaded save to my latest one. Seems to work fine.
Problem is that the Pip-Boy doesn't pop up when loading the saves. This goes both if I have Lings.esm checked or not. It's also the same if loading early saves before changing the char via the showrace menu or FaceGen Exchange.
Not sure what might cause it. Anyone?
EDIT 2: OK, I'm down to Type3 Body and Armor replacer (using New Vegas Type 3 armor pack V2 armors only). If uninstalling it, the Pipboy shows up fine. Also, doesn't matter if I install it manually instead so FOMM has nothing to do with it. Weird.