I haven't personally done any studies, but somethings you may want to check out:
Here is one study:
https://digitalcommons.bryant.edu/cgi/viewcontent.cgi?article=1223&context=eeb#:~:text=Player%20performance%20statistics%20data%20was,after%20the%20age%20of%2032.
Spoiler:
This research paper examines the peak performance age of NBA players from the perspective of General Managers. It explores the age range where players are most effective and analyzes the relationship between age and performance using ESPN player statistics. The study concludes that NBA players typically perform their best between ages 27 and 31, with performance slightly declining after 32.
Another study based on PER and MP:
https://www.linkedin.com/pulse/analysing-predicting-peak-age-nba-players-data-science-marcus-chua/The full dataset can be accessed as a CSV file on Github here:
https://github.com/mchj2468/nbapeakageprojectThere is a blurb here about NBA guys peaking at 27-28:
https://sites.dartmouth.edu/sportsanalytics/2021/11/10/peak-age-in-sports/Another says they improve until 25-27:
https://harvardsportsanalysis.org/2015/05/player-progression-in-the-nba/Forum post RAPM Aging Curve done by Jeremias Englemann from back in 2013:
https://apbr.org/metrics/viewtopic.php?f=2&t=8308Englemann is pretty active on twitter, and he might actually have some helpful info to answer your question.
This one has more of a focus on NBA stars and therefore is perhaps not representative of larger league trends. Nonetheless, it suggests 27 is a good age, which is has been a consistent them in everything I've linked:
https://hoopshype.com/2018/12/31/nba-aging-curve-father-time-prime-lebron-james-decline/Another study using box-score numbers:
https://courses.cs.washington.edu/courses/cse163/20su/files/project/archive/nba.pdfPer this study:
https://www.mdpi.com/2078-2489/15/4/242"Figure A3 shows that players’ salaries generally peak in their late twenties to early thirties (29–30 years old), while PER tends to peak slightly earlier (27–29). Salaries and performance metrics, such as PER, VORP, net rating, etc. vary with age, highlighting the relationship between a player’s career stage, their role, and their value to the team."
This person on Reddit from 11 years ago did a study:
https://www.reddit.com/r/nba/comments/2aa0r2/study_at_what_age_an_nba_player_reaches_his_peak/?rdt=54128SPOILER:
The average peak age is 27 years and 2 months
In general, it would seem players reach new heights at 25 or after, and while perhaps these articles do not explicitly say that they are less likely to drop in immediately after, my hunch is that so many guys peaks after this age suggests they likely hold onto this performance for a bit of time.