I may not have been clear. What I mean is this. A sentence in the form "I make a figurine with fixed arcane connections" clearly states the result. It does not say anything about how the ACs became fixed. And thus implies that there's nothing particularly noteworthy about that fixing.
When you bake a cake with a molten core, the fact that the core melts in the baking is unremarkable. Your sentence does not imply that that the core melts in the baking per se. It implies that you should rely on your normal experience to understand how that molten core came into being, and that there's nothing special happening here.
Now look at the Leadworker example. You seem to admit yourself that, in your interpretation, the fixing would be the central fact. But the sentence is one that does not by its structure make that a central or noteworthy fact. In the absence of other information in that passage, we should assume that nothing special happens to the arcane connections in the making of the kolossos. So, the kolossos is built of arcane connections fixed in a non-remarkable way.
Since arcane connections never otherwise get fixed in 0 time or 0 cost, that does not happen in the making of the kolossos.
Right. So if I did not know fixed arcane connections can't come directly from the body of the victim, it would be ambiguous. Can I only incorporate arcane connections that where taken already fixed, or can I take them, fix them, and then incorporate them in the kolossos? Since the first is not an option, only the second is possible. I must first take an Arcane connection, then fix it. Then I can incorporate it in the kolossos, and only then, because arcane connections do not normally become fixed as I do other stuff with them.
Just like "I bake a cake with dried figs taken from the old fig tree". It's obvious that figs do not dry on trees, and it would be noteworthy that the figs dried in the baking, so the natural interpretation is: someone took the figs from the tree, dried them, and then baked a cake with the (already dried) figs.
If someone had wanted to say that the baking dries the figs, one would have said:
"I bake a cake with the figs taken from the old fig tree; the baking dries them".
Similarly, to provide your interpretation, the text in HoH:TL would have read something along the lines "... may also make kolossoi that contain arcane connections taken from the bodies of their victims. The process fixes the arcane connections and does not require spending vis or study time."