Maybe.
We don't recommend outdoor runs (unless for a short period of time, and if the pigs are closely supervised), because they're just not as safe out there. The best cage in the world can't keep stinging and biting insects out, and most can't keep out snakes, mice, roaches, etc. Guinea pigs are susceptible to heat stroke, and a day that might feel great to you can kill them.
They're prey animals, and as such, they hide illnesses very well. Sometimes (most times) very subtle signs are the only clues you have that a pig isn't feeling well, and with some diseases, they can go from not feeling well to dead in less than a day. If your pigs are inside where you can see and interact with them, you have a much better chance of catching illnesses and problems before they become severe. As an added benefit, they're usually cheaper to treat if caught early than if not.
And finally, as far as I can see, there's no benefit to having a pet if you can't enjoy it. My two guinea pigs are in my living room/den, where I spend most of my time, and I love watching them. They're the cutest critters ever, with tons of personality. If they were outside, I'd see them to feed and water them, and that would be about it.