I'm not the most skilled driver, so, to be somewhat competitive I pay attention to all these things too.
Note the time of day for the race, morning races are plain slippery... fog/mist/dew... noon seems to be the most grippy, anything outside that seems grip again falls off... times of day, sunny/overcast... track temp.
I have no data, but I sure have noticed this to be consistent.
First several corners are always slippery... cold tires. If you are up front and running hard the tires come in quicker than if you are further back and running in the pack (slower, less tire stress/heat)... factor that in for race starts.
Car at the beginning of the race handles different(cold tires/full fuel) than in middle(warm tires/medium fuel) or the end(wearing tires/low fuel).
Know when to conserve and when to push.
I often will yield a spot early on the first lap to keep from running so hard as to chance a over-driving situation. As a result I also often pick up a spot or more, not due to skill, but due to others going off track. Mid race I set my best times, but, I do not push the car, I just stay in check with those ahead (if my skills allow, sometimes I just get dropped). Late in the race I'll put the hammer down having conserved tires and now light on fuel, and as a result often grab a spot late in the race because others have worn their tires to a point they are no longer competitive with "ok" tires (be it me making a real pass, or, again faster drivers seeing pressure, but on less than ideal tires... now go off track).
Like I say, I'm far from fast, but... steady pace wins the race... well... I don't win but I most often I place higher than I started. Good enough for me.
I think the physics are messed up since 1.06. Check the video below and watch how the front wheels don't move in time with the cars movements.
I would rely less on what the replay captures and more on what the car acted like during the event. Look at in car steering wheel/hands movements for example... yikees!
I've also caught several slides with a little "opposite lock", then gone back to the replay thinking it would make a great photo... only for the replay to show no "opposite lock" at all... simply showing the fronts pointed straight ahead... yet the slide was recovered with definite opposite steering angle... I watch and try to learn from my replays, but I do not take graphical representation of any steering inputs with any weight. I think breaking, throttle and car attitude are well represented... steering... nope.