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Ocean-bottom acquistions are emerging as the go-to strategy for marine surveys. One of their major advantage is the multi-component data accessibility. Commonly, multi-component data are independently inverted in an uncorrelated manner. The relationship between particle motion recorded along different directions could be exploited through polarization. Polarization attributes could serve as a remedy for the ill-posedness of FWI or serve directly as objective measures due to their insensitivity to phase and amplitude ambiguities. In this study, a previously proposed intrinsic polarization-based misfit function for frequency-domain full waveform inversion (FWI) is recasted under a time-domain compatible framework. Through a numerical example on a realistic synthetic example, the conventional and proposed strategies are compared. The obtained results confirm the superior robustness of the polarization-based objective function.