Somewhat depends on a lot of other factors. If the 2.5 radiator is from an A/C equipped vehicle with Automatic transmission and going into a vehicle with a 4.0 but no A/C and manual, then it might.
I believe that the lightest duty radiator that would be practical would be a 2 core radiator. My 2.5L/Man/No A/C is a 1 core radiator and I didn't have any problem pulling the 29' self contained trailer in the summer in SD/MN. But that was at highway speed (70 mph) and that moves a LOT of air across the radiator.
It is at low speed when working that it will show up the most. Heat is one of the worst culprits for damage so too light a radiator is not advisable except in an emergency.
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