This is true, but the amount of damage done by tourniquets is overstated, whereas the damage done by uncontrolled hemorrhage is…death.

Let’s say that, as you posited, only one of every hundred wounds needs a tourniquet to prevent death. If the perception is that tourniquets cause minor injury every time they’re used and permanent damage one time in 10, then you’ve hurt 99 people and caused permanent damage to 10 for every life saved with a torniquet.

Now let’s do the math if, say, you see minor injury one time in 10 and permanent damage once in 1000 applications. All of a sudden, you’re only causing 10 people minor harm for each life saved. Completely different math.