I guess I need to repeat my previous post: There's a giant difference between "it takes into account" and "it is not impacted by".
The stat doesn't do the latter. This isn't up for debate - they explicitly say "A different role, a different coaching scheme, different teammates, different match-ups, or different seasons affect APM big time."
If you have a problem with that statement, take it up with them.
The adjustment in APM is because it adjusts for the teammates. I seriously don’t know how to make this more clear. It’s all about performance relative to who a player shares the court with. A more simple example would be a relative TS%. With relative true shooting, you compare true shooting to the league average of that year. Different eras have different TS%. So if you look at a raw TS% it’s biased towards the efficient years. But with relative TS% it doesn’t matter as much because you’re only comparing TS% to the same era.
Likewise, playing with Kevin Love is neutral when it comes to APM. Key’s minutes with Love are compared to other Love minutes. It is not inherently more beneficial to play with Love vs Gobert in APM because the outcome expectations are different.
Here is the description for RAPM which is the variant I have been referencing:
RAPM is a form of "Adjusted Plus Minus" (APM)
APM is an impact-metric analysis that treats players as influencing factors on the outcome of NBA possessions to determine a player's impact on his team's performance in a more unbiased way.
The "R" in RAPM stands for "Regularized", i.e. quadratic penalization for coefficients - a method to help deal with noise and high degrees of multi-collinearity in the data.
In the standard (non-"x") version of (R)APM, no individual player data is used
Instead, a player's impact is estimated solely using the points scored by his team - and the opponent - while he was on the floor, while adjusting for the quality of his teammates and the opponent players
To give a short example, the 2023/24 Grizzlies had an Offensive Rating of 107. An average MEM lineup would be expected to score 107 points in 100 offensive possessions. If a Grizzlies player managed to record a team ORtg of 115 - the team scored 115 points per 100 possessions with him on the floor (with average teammates, against average opponents) - his offensive (R)APM would be positive, though not necessarily equal to (115-107 = +8).
At the same time, a player recording an ORtg of 115 as a member of the Boston Celtics, who had an ORtg of 123 for the season as a team, would lead to a negative offensive (R)APM
PS. I acknowledged those concerns earlier, but that is not an argument for Love tanking Key’s APM numbers. An argument for that would be something along the lines of…”Hardy sucks at coaching defense, so another coach with the same lineups would have produced better results and those shortcomings are passed on from the coach to the player.” That’s a sound argument, but what you’re arguing does not fall into the cons of this number.