Perhaps something wider is in order. I still think a tourniquet is not something I am likely to need and its fairly easy to improvise. We are talking about dead versus not dead here. Thats when I would be using one. I am not going to quibble over some minor tissue damage caused by the use of a less then ideal tourniquet if the other option is dead.
I agree that for most people a dedicated tourniquet would be not necessary, but pre-planning how to go about making an improvised tourniquet and knowing how and when to use one would be good knowledge to have.