Li-ion battery voltage oscillations during galvanostatic operation were recently reported for the first time. Although the oscillations were found to be induced after a chemical modification on the electrode's surface, the electrochemical properties that allowed for the emergence of oscillations were not further investigated. To contribute to this direction, we conduct numerical simulations of oscillating batteries using multiphase porous electrode theory, and the simulated results are compared with experimental oscillation reports. In both, the (dis)charge rate increase promoted an oscillation frequency decrease, and simulation data was used to describe this trend as means of local current distribution. The oscillation property dependence on operation direction was also reproduced in the simulations. It is shown and discussed how exchange current models impact the oscillation morphology and frequency, and the experimental reports are reinterpreted with this finding.