Yeah, the PIDs are definitely affected by the "mass distribution" (moment of inertia), as well as by the motors and propellers and ESCs and the control algorithm and on and on. I don't think it hurts to list the PIDs though. Could save some time when starting from scratch on a similar or identical rig.
Saw an old post from 2013 title Tiger motors-propellers combinations for an heavy lift octocopter, where after testing several motors props combinations you chose the Tiger 3510 360Kv.
I'm trying to upgrade my 3dr x8+ to be able to extent the flying time while increasing the payload to be able to use about 1200 extra grams for camera equipment etc. At present my drone is equipped with the motors and props that come from 3DR ( SUNNYSKY V2216-16 KV800) and by them the drone will be able to lift 800 grm while having a fly time of 15 mnts (by what I have read more like 10).
I was wandering if you think that using the Tigers and the props combination I could achieve the results you had, also whether