This is put in a way that may be misleading.
Delta wins because when other strains bring a squad, Delta brings a batallion. Delta simply out-breeds other strains, and your immune system gets swamped by sheer dose.
I don't believe these are accurate descriptions.
Okay, I'm sorry, but you seem to making a bit of a hash of terms.
"Droplet" is anything over about 5 micrometers. "Aerosol" is just a small droplet (under about 50 micrometers). The effective difference between "droplet" transmission and "aerosol" in this context is the length of time the drops stay in the air. Any droplet over 100 micrometers falls out of the air in seconds. From there, the smaller the drop, the longer the hang time.
The vast majority of SARS-COV-2 transmission is by droplet. The pattern of spread we see in Covid-19 in the population is not consistent with aerosol droplets that stay in the air for more than about a half an hour. And, the vast majority of cases are still from folks you were in close immediate contact with - you are both present and within about 6 feet of each other.
"Quite a long time," is relative, and too vague to be useful. The empirical relevant period for covid-19 seems to typically be seconds to half an hour. If Joe has covid, and you enter the space they were in two hours before, your chances of getting sick from Joe are miniscule.
One caveat - this does not hold for spaces that have been permeated with the stuff. If Joe's been in his living room coughing all day, you want to wait substantially longer before you treat that space as safe.