Very good question and a very good answers in this article! I'll add one more reason not explored by the authors: antibodies don't "leak" in the environment, in contrast to the antibiotics which are everywhere. For example, if I'm vaccinated against S. pneumoniae (one of the bacteria that can cause pneumonia), the bacteria have to get inside my body to gain exposure to my vaccine-induced antibodies. This makes the em…
You don't excrete antibodies? I think you might be saying that antibiotics are passive strategies which are inherently overly broad and thus problematic.
Their fate mostly lies in catabolism, i.e. they are broken down and the components reused. Biliary excretion accounts for a very small amount of the elimination of IgG antibodies.
[0] "Pharmacokinetics of Monoclonal Antibodies" http://onlinelibrary.wiley.com/doi/10.1002/psp4.12224/pdf