Even the older graphics and shorter cut-scenes of the PS1 don't limit Jill & Carlos from building chemistry in these scenarios. Honestly, I think that Capcom should be ashamed of how RE3R screwed up their relationship in comparison to the OG RE3 version.
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If you're going for all kills on Nemesis, this battle is additionally beneficial as it weakens Nemesis a little when Carlos wins. This means Nemesis will have reduced health the next time Jill fights him. Very handy if ammo conservation is a must.