We inherited different types of fencing in different parts of our land.
Our Shetland ponies rub their backsides on the fence posts and the stock wire and they are quite destructive generally so when we get their bit re-fenced I'll put an electric wire on it too to keep them off.
Stock will eat your vegetation and not just the leaves, the branches and trunks too.
We had neighbours once who said they always put in post and rail for their ponies as they could get tangled in stock wire type.
Post and rail is more obvious visually, I like post and stock wire myself. It's a good idea to have a rail or something at the bottom. Stock grid wire type gets full of nettles and long grass etc and starts to look messy and tangled at the bottom and you'll want to strim it if visuals is important.
Let us know what you opt for Ted