There are really not a lot of peregrine falcons around, less than 2000. While it might be possible for one person to take a few eggs, if it's allowed and not prosecuted they will all be taken pretty quickly.
There's a separate problem in the UK of commercial grouse moors killing birds of prey to protect their pheasants so they can be shot later by humans. Strange business.
Prosecuting him seems like much ado about nothing, as it is pointed out that 80% of the falcons in the wild die within their first year, and they do much better if captured into captivity. Still a fascinating story.