Face-to-face (F2F) bonding in three-dimensional integrated circuits (3D ICs), compared with other bonding styles, is closer to commercialization because of its benefits in terms of density, yield, and cost. However, despite the benefits that F2F bonding expect to provide, it's physical nature has not been studied thoroughly. In this study, we, for the first time, extract cross-die (inter-die) parasitic elements from F2F bonds on the full-chip scale and compare them with the intra-die elements. This allows us to demonstrate the significant impact of field sharing across dies in F2F bonding on full-chip noise and critical path delay values. The baseline method used is the die-by-die method, where the parasitic elements of individual dies are extracted separately and the cross-die parasitic elements are ignored. Compared with this inaccurate method, which was the only method available until now, our first-of-its-kind holistic method corrects the delay error by 25.48% and the noise error by 175%.