It would probably effect the daily level or iron and copper needs for health. according to https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3690345/ Recommended daily allowance (?) of Iron is 18 mg while that of copper is 0.9 mg. Just a guess but creatures with copper based blood would probably need to eat more copper "rich" foods and less iron "rich" ones.
adding a bit. The cycle of iron as a nutrient in the environment is well studied (https://www.nature.com/scitable/knowledge/library/earth-s-ferrous-wheel-15180940) as well as the storage and use of iron in the body of mammals (http://www.chemistry.wustl.edu/~edudev/LabTutorials/Ferritin/Ferritin.html). Iron cycling out of the body is even what gives poop it's brown color. Copper as a nutrient is less well understood (just above http://ajcn.nutrition.org/content/88/3/826S.full#sec-4).
If there is a species that needs a lot of copper in their diet there is probably a whole ecosystem of plant and maybe animals the provide a good source of copper. So this species would need to hunt or cultivate these. For Iron based species to eat these plant in the same quantities would probably be toxic. So now your have potentially two species that cannot really share food. There could be extra complexities in trying to have sets of agriculture in the same place and this could drive them to different regions.
If there were not a whole ecosystem based on getting enough copper then the species may have to work extra hard to cultivate or hunt food that gave them enough copper. Again perhaps restricting population centres geographically and perhaps limiting the size of those population centres.
Hopefully a better answer
Bonus note: Hemocyanin ref: https://en.wikipedia.org/wiki/Hemocyanin