Either is fine with me. I remember breakfast sausage in a cloth roll from my childhood - slice and cook, it was so good! - so maybe patties have the edge.
I buy locally made little links with a casing, but sometimes the casing is kind of split and loose, so I peel it off when its halfway cooked. The link retains its shape as it’s nearly done.
I make breakfast sandwiches with links. Four maple sausage links between a slice of American cheese and a fried egg, on an English muffin. When the cheese melts it kind of mortars the links to the muffin and each other.
We buy and keep in the freezer all 3 forms of assorted sausage - they each have their uses. Since we get our meat at an actual butcher shop, I can get the same meat blend in bulk, patty or sausage [and specify natural or synthetic casings] Our normal load-out is 5 pounds each bulk, patty and link in half pound packages of spicy and mild Italian, breakfast and I have them whip me up a 10 pound batch of weisswurst every 4 or 5 months.