Not sure what the 10mm spanner is necessary for. Brakes don't need to be released if you take off and put back the wheel with tyre deflated.
Because it
really sucks to get the wheel back on,and then find out that you've pinched the tube and ruined it. Yes,you can inflate the tire,then deflate it,then re-inflate after the wheel is mounted,but this is also a PITA,esp if you're using that crappy stick pump that comes with non-ti Brommies.