The effect of fluctuations of strong color electric fields (SCF) on the baryon production in d+Au and Au+Au collisions at 200A GeV is studied in the framework of the HIJING/BB v2.0 model. It is shown that the dynamics of the production process deviates considerably from calculations based on Schwinger-like estimates for homogeneous and constant color fields. An increase of the string tension from κ0 = 1 GeV/fm, to in medium mean values of 1.5 to 2.0 GeV/fm and 2.0 to 3.0 GeV/fm for d+Au and Au+Au, respectively, results in a consistent description of the observed nuclear modification factors R dAu and RAuAu (that relates (d)Au+Au and p+p collisions), and point to the relevance of fluctuations of transient color fields. The differences between nuclear modification factors RAuAu and RCP (that relates central and peripheral collisions) are also discussed. The measurement of multi-strange (anti)hyperons (Ξ, Ω) yields would provide a crucial test of the importance of SCF fluctuations at RHIC energies.