[en] Recently we have shown that the program DETECT provides a realistic platform to model the performances of scintillation counters with geometries as involved as that of the EXACT HR PLUS, a state-of-the art position and energy encoding BGO detector manufactured by Siemens-CTI for position emission tomography (PET). In this paper we present the results of new simulations of this block's performances updated to include the non-proportionality of the scintillation response of BGO, and the statistical tubes. The updated model accounts for the crystal dependent energy resolutions observed with 511 keV photons in the detector with excellent accuracy. Measured and simulated resolutions are shown to agree within -1% to +4% with an average absolute difference of 1% over the entire block. The impact of the non-proportional scintillation response of BGO on the energy resolution is shown to be relatively small compared to that of the amplification noise in the four PMTs reading out the block. (author)