They use them alot in eastern Europe. In the farming villages of Ukraine, people fence their properties around their houses to protect their gardens. Cattle are driven by the villagers each morning down the road to fields where they graze and then they return, each cow knows where its home is and the owner lets them into their gate. Horses are treated a similarly. For forage, the horses graze in the countryside and for this, they must be hobbled. The mares pull hay carts with their foals running beside them. Hobbles work fine for them. I think that it is a matter of training and once they are accustomed to it, it is not dangerous to them.
All that is gold does not glitter,
Not all those who wander are lost
The old that is strong does not wither,
Deep roots are not reached by frost.
- - - -JRR Tolkien "Lord of the Rings"