The Red fox is a very adaptable predator, one I have great respect for. However it doesn’t change the fact it can and does cause tremendous damage.
The fact that other predators do too, but remain protected is a mute point. We can only control the ones that are legal to.
The fact that someone asks the question on whether they take lambs. Points to the problem we are dealing with. Years ago when more people had a connection with their food (hens in the yard, rabbits in cages) they understood. The fact is that you have to do something to try keep a balance. The benefits are usually more than twofold, protecting both livestock and wildlife.
It always amazes me how when you get someone against shooting foxes, they would be happy to poison rats.