The local EMT crew can probably get you into the ambulance with two guys, who sit in a truck together all day long. You'll be going to a hospital where everybody who works on you normally works together. They'll all have something resembling adequate PPE. They might get takeout from the same places you do. Everything is completely within the same local risk pool.
If you do your ankle in on the Zealand Trail to the point where you can't put weight on it, you're going to need about 20 people: probably AVSAR, a few COs, and local EMS. They might not have seen each other in months. They'll be coming from a 50+ mile radius. They probably won't have adequate PPE. On a day-to-day and even week-to-week basis, they normally have no contact with each other and no contact with you. They're going to be up in each others' faces, touching each other, breathing hard, for several hours. Then when it's done they're going to go home and you'll probably spend some time in medical care up north, and then some more at home. Several different risk pools have mixed together on a massive scale.
This public health stuff is really counterintuitive. It's not about individual activities being "safe" or "dangerous". It's not about individuals being "clean" or "dirty", or certain states "having it" or "not having it." It's about minimizing contacts because every contact carries some small amount of risk, and minimizing mixing of populations so it doesn't spread.