Cooling fan question

about 6 years and 45k miles ago I paid a garage to put a radiator in it, I wasn't into my car much back then... I just trusted them to be honest, later found out they are far from it
this is what the radiator looks like (damaged)
P3070203_zps9a0506a5.jpg

and the label looks like this on top
P3070205_zpsc2de7571.jpg

any chance that damage is reducing cooling potential in a noticeable way?
 

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