net thingies?
Many homes, particularly in very warm regions of the US, have a mesh screen door in front of the front door.
That way, you can have your front door open to catch a breeze, but the mosquitos, roaches, ants, bees and snakes can't get in.
The screen is metal, though, not net.
Some have 'storm doors', a clear plexiglass door, in front of the front door.
This serves two purposes. It's extra security - these doors often have a deadbolt lock AND, they provide protection from so-called 'kick in burglars'. And they offer extra protection to your door during hurricanes, tropical storms and the like.
I have not seen pashminas on Americans, tbh.
But I've also lived mostly in regions that don't stay very cold for too long - including Denver - and I find them very hot myself.