Sorry, I stand corrected then.
That said, lynx would be beneficial to forests by controlling roe deer populations, right? In Spain there is a similar problem that more wolves would help to tackle.
Of course human hunters claim to do it. Meh.
At least in Spain the main prey of the lynx are rabbits. Even in Doñana there are some introduced rabbits including some fence protection around their lairs so that lynxes can jump but they are reasonably safe from other predators.
And in Doñana you can find plenty of breeding birds. Yet...
Spain has a long experience trying to recover lynx populations. And unfortunately it's very difficult. It's a long ranging predator that needs a big territory and prey. And every year several specimens are killed by traffic. In 2018 it was at least 27.
And Spain has large areas with a really...