[1] "Daily precipitation records for 219 surface observing stations in the United States for the 42-year period 1951–1992 are investigated for weekly cycles in precipitation. Results indicate that neither the occurrence nor amount of precipitation significantly depends upon the day of the week"
[2] is a highly cited paper, has a good overview of the field, lots of papers, and certainly points out that the claims you're making are not considered statistically valid. They present ~2 dozen papers, show that some claim effect, some do not, rank them by statistical quality, and most interestingly, have a good summary table (Table 2). Use Sci Hub to read the paper. Table 2 makes it completely clear your claims are simply not warranted by the science. The rest of the paper reaches the same conclusion....
"The idea that it rains more on weekends because of weekday pollution is a myth." [3]
If you care to read the literature, you'd find these are not outlier papers. The effects are far more subtle, and much weaker statistically and evidentially, than you are claiming.
It's possible that in terms of volume of precipitation, urban areas get as much or more (https://www.udel.edu/udaily/2020/december/mather-lecture-mar....) but the point is the negative impact of human, preventing "good" soft rain, because those precipitation are more intense and rare, so it's causing erosion and the result is just like less precipitation for plants/trees
The top sentence on that search reads "There is no scientific evidence that it rains more often on weekends than on weekdays like Mondays. Weather is determined by a variety of complex atmospheric conditions that have nothing to do with the day of the week. However, the perception that it rains more often on weekends can be attributed to human bias"
I also just listed several decent studies meta studies summarizing a lot of the academic literature, and they seem quite in agreement that the situation is not as simple as you claim. In fact, the top several hits from your search are the studies I posted above.
