Every horse is different. I love barefoot and I do think it has many benefits and can be better for the horse but there are those who simply cannot go without shoes. If your concern is about your horse slipping it may not be necessary because your horse has the same traction barefoot as it would in a winter shoe. The problem is when people shoe their horses and do not winterize them with studs and pads. A normal shoe will cause your horse to slip far more than he would if he were barefoot and this includes during the summer. If you are worried about traction you can shoe them but it must be with winter shoes (one kind of pad and stud…not interchangeable) or for the summer, ones with stud holes so you can change and remove the various styles for different footing (interchangeable).
Also, ask your FARRIER :).
-Hope this helps!
The triple threat of riding = EVENTING! 😉