Sorry, bud but doctors are not using homemade cloth mask and they properly handle and dispose of the mask they do use.The Nature article you shared makes the point that aerosols are appear to be a major way that the virus is spread. The size of aerosol droplets, according to the article, is around 4 to 5 micrometers (microns) or somewhat less, if I am reading it correctly. This is substantially larger than the 0.125 micron size of the virus. The article I cited discusses three ways in which masks capture particles and droplets smaller than the fabric pore size. Do not be misled into thinking that masks are ineffective if the pore size is larger that the droplet to particle size.
If masks did not work, medical professionals would not be using them.
The article I cited lists these conclusions:
Masks are not chainlink fences through which a water hose can be sprayed. Masks are a cost-effective means of reducing the transmission of COVID.
Your points about improperly handled masks being a means of spreading the virus have limited merit but I believe they are taken from guidance for medical personnel working in sickroom environments. This advice cannot be directly applied to members of the public who are trying to reduce spread in an epidemic, not moving in and out of "hot zones" in a hospital or sickroom. Just wash your hands or use hand sterilizer after taking off your mask....and do not wear your mask inside out by accident.
You're adding in your contex to my post. I didn't say mask don't work (as in all), I said cloth mask do not work.
You can move the goal post, comparing what goes on in a doctors office and what the average public is doing all you want. It isn't going to change anything.