For the pistol cartridge box at Fall Creek, no, it does not come with a wooden block. I can get 18 rounds in mine but it's just stacking them in on top of the other, I don't use paper cartridges or the wooden block so it's not historically accurate. I'll take a picture in a bit and show you what I mean.
The musket cartridges boxes are great too and DO come with the tins inside. I know that's a whole different subject though.
Anyway, Fall Creek is great stuff, I have a couple of their holsters and really like them. They are historically correct with the white linen thread and the correct stampings.