A couple of things with that Marty which would have also helped me - I got a better exit coming out of the corner into the pit lane and so hit the speed limiter at a higher speed which would account for a few km/h difference down pit lane (maybe effected the way the speed limiter is applied?).
Except at the point we reached the pit soeed line which is when I started timing the stops I was going faster 153kmh to 150kmh. Then my car takes 6 seconds from there to drop to 80kmh and yours was still going over 90kmh which is the weirdest bit. Also your pit bay is after mine and you got to it first even though the video is synced at the point we cross the line.
If you see it in fullscreen you should be able to see the speed of both cars at all points. I suspect dropping to first gear keeps a higher speed then keeping it in the gear entered as I did.
I did brake a little more slowly as I didnt want to overshoot but thats maybe .2 to .4 the biggest gain is the extra speed your car had travelling down the lane.
I will need to test this later but I thought shifting down may slow the car more after crossing the pit speed line. It would be good if we got actual pitlane times and stopped times in the stats. These used to show up in stracker but since the update that broke plp pitlane detection all pit info has been kind of broken.
Time difference on inlap and outlap is 2:05.892 2:26.583 (272.475) for you and 2:06.979 2:29.037 (276.061) for me. So net gain for you over those 2 laps was 3.541 seconds.
This with a pitlane time difference of 2.25 seconds 1.291 seconds gained by you outside of the pitlane on fresh hot tyres vs grained cooler tyres which is about what I expected.
The only reason I took a look is I didnt think your laptime would be 3.5 seconds faster even on the newer rubber on the outlap. If you compare your laps before pit in and pit out 2:05.547 lap 5 and 2:04.271 lap 8 the gain on the fresh tyres and lower fuel was around 1.3 seconds and that pretty much works out all the extra time is inside the pit speed zone. Better braking by you was worth a bit but your car was pver the pitlane speed limit for 7 seconds longer then mine was.
Though both were speeding in a way the game allows it does show how big a weakness the Kunos pit implementation with auto limiter and no speeding penalty is.
Definatly pushing more on the brake approach is a place you can gain time as is entering the pits and getting on the limiter as is timing the exit. It really shouldnt let people drive over the speed limit inside the pits.
But there also needs to be a clearly defined pit limit line for both entry and exit along with a drive through for speeding which isnt on most official tracks if any. Then if someone can gain 1 second or more in the pits its more a skill rather then how the game decides to slow all cars in some random way.