With a quick All-Star Break in process during the 1962 season, we have a two-day open slot on our hands, so we'll fill in with a comparison update on the differences in monthly offensive levels (2022 vs. 2021). Here is the updated chart, with June and July added. (You'll see these right away, as we've highlighted the text in baby blue...)
As you can see, the NL seems to have peaked in run scoring back in May, although they came close to the same R/G levels in June, and had their spike in HR/G that month. But in July, the league BA has regressed back to .240, SLG has fallen back below .400, and HR/G fell back about 17%.
In the AL, there has been a steady but modest increase across the board (save for a very slight downturn in HR/G this month that might not hold, since we are using data just through 7/29).
Of course all measures (slash stats, HR/G and R/G) are mostly down as compared with 2021. The exception is in the NL, where the spikes this May and June caused an uptick in run scoring this year as compared with the previous season. That has reversed itself rather dramatically in July.
Last September was a warm month, and offensive levels stayed elevated as compared to the usual dropoff. That phenomenon propped up R/G levels last year; we'll just have to see if there is a similar phenomeon in '22. As we always say: stay tuned.