It has never been my experience to find a sudden population explosion of any of these spiders in the months after a web and egg sacs were created.
You can (I am guessing here) move them and see that the hatchlings (?) get started in a new area, but it is my suspicion that they manage to spread out
pretty quickly (and a large number are probably eaten by other insect predators). Perhaps by leaving the egg sacs in place you'll be lucky enough to have
one spin a web there next year. Argiope are interesting spiders, working in daylight so you can see them in action. My kids and I have been known to throw
Junebugs into the web to watch them in action.