That's an interesting call, Rowland...
I've actually watched a carrot fly try and get through some mesh, and it doesn't give up easily!
If a farmer relies on this method, then who can query such a chap whose livelihood depends on a decent crop, so 'goferit', and let us know how you get on!
As we've often mentioned here, carrots in buckets high up are pretty good, but never fool-proof, as gusts of wind etc can easily lift the blighters up a few inches more than they want to jump, and they're away!
Touch wood and whistle (peeep), our buckets are OK so far...