Quick Answer:  A better question to ask yourself is how much at risk is my horse for laminitis?
Wearing a grazing muzzle is not always the best way to restrict grazing, if you can make a grassless track that is perfect, maybe a dry lot or tiny strip grazing. But a well fitted grazing muzzle is many times more desirable than laminitis.

We all hate see our horses wearing a grazing muzzle, but keep telling yourself what the alternatiive is - possible laminitis.  An overweight horse is at risk.

The answers include making a grassless track, I made one for my Skye and Tara and they get no grass at all but at least they are as safe as they can be. They do stand by the grass fence and turn to look at me, they think I am dim and don't understand. I do but they cannot have grass, they are too sensitive to it.

You might be able to restrict grazing with a fenced off dry patch but unless they have friends in there, they are not going to be happy.

So a grazing muzzle is a good alternative, it is not thrilling but definitely not cruel. They can eat happily with it on but not too much, they can groom their friends with some muzzles (the LiteBite is good for this) and just be with other horses.

So grit your teeth if you have to but don't let laminitis into your life, use a grazing muzzle.

I recommend the LiteBite Horse Muzzle but then I would, it is strong and soft with its unique grazing slot.