This article suggests that the binding of calcium is significant in the presence of low levels of ions such as copper:
http://findarticles.com/p/articles/m..._7/ai_85523010
from it:
EDTA chelation effects on urinary losses of cadmium, calcium, chromium, cobalt, copper, lead, magnesium, and zinc - ethylenediaminetetraacetic acid
"There were significant increases in lead, zinc, cadmium, and calcium, and these increases roughly corresponded to the expected relative increases predicted by the EDTA-metal-binding constants as measured in vitro. There were no significant increases in urinary cobalt, chromium, or copper as a result of EDTA infusion."
This article gives the constants:
http://jn.nutrition.org/cgi/reprint/112/4/652.pdf
It is pretty specific for copper over some of the other metals mentioned, specifically Ca++ and Mg++.
Overall, however, I'm not sure how you'd know how much to add to not overdose and bind other things, while binding enough to be useful.