The concern isn't copper per se but rather the uncertainty about how supplemental copper peptides might affect a developing fetus or nursing infant
Saibal K Biswas, Danny McClure, Luis A Jimenez, Ian L Megson, Irfan Rahman - Curcumin induces glutathione biosynthesis and inhibits NF-kappaB activation and interleukin-8 release in alveolar epithelial cells: mechanism of free radical scavenging activity - Antioxid Redox Signal - Jan-Feb 2005
Oral glutathione is generally well tolerated
Environ Exp Bot 77:3343 Gadjev I, Vanderauwera S, Gechev TS, Laloi C, Minkov IN, Shulaev V, Apel K, Inz D, Mittler R, Van Breusegem F (2006) Transcriptomic footprints disclose specificity of reactive oxygen species signalling in Arabidopsis