I've had the whole nine yards in all my vehicle engine compartments - EXCEPT the tractors. Mice with their nests - chipmunks packing dog & cat food into the air cleaner compartment and one big 'ol pine rat who made a nest in the pickup. It was a real mess when he jumped out of his new nest and attempted an exit thru the engine fan. He was so unusual - I scraped what was left of his body off the steering arms - put it in a plastic sac - the local vet identified him. Thirty six years here and only that one pack rat.
Anyhow - none of the little beasties bring anything into the engine compartment big or long or hard enough to pref a radiator.
Normal reason for a perf - a stick, stob, root or limb comes up from under the tractor and gets pushed thru the radiator. Either that or something you picked up with whatever is on your FEL got jammed back into and thru the radiator. Your tractor battery is another object that can be perforated - due to its location.
Now - IMHO - the reason there has never in the 36+ years here had anything in the engine compartment of either of my tractors. It too open and little protection from the weather. The engine compartments of my car, Jeep & pickup are much more enclosed and do provide protection.