I actually just got a copy of that book today and found that section. Given that it seems like Theophilus was writing around the early 1100s, and this iron piece was 1500-1600, it stands to reason there'd be advances in metallurgy to allow for a swage block hard enough to reliably make "beaded iron." Strangely enough, that was how I was thinking I'd go about it, but starting by chiseling/cutting partly into square bar before swaging, just to help start the spheres.
I will say in the few photos I have, the spheres aren't perfectly uniform, but I can't imagine hammering each one of those if you have the ability to make even a crude swageblock.