I've justed tested the combination of overflow + capture fields, and it worked correctly. I've made three pages with overflow, and I've filled the fields. It generated a three pages pdf, and it had the proper inking on all three pages.

So it seems like it works for me. Maybe we'll need to see your form and what exactly you are doing in order to troubleshoot this problem, so I suggest that you open a technical support issue. You can call 1-866-348-5863, or use the web support:

Raphaël Lalonde Lefebvre