The 3.5.3 update now has the docking systems spawning on the ground in 2024... And no it is not the profile.
I can say the way it "doesn't happen here". In a way, it does happen, but surely not as severe as in your screenshot. Yes, I can replicate a very small difference in height in some airports (FSDT LSZH), the STATIC docking system is created a few centimeters below the normal height, but it gets immediately correct as soon you open the GSX menu.
When debugging this, to fix the problem with the fonts going up/down which is now fixed and you completely ignored, the real reason is that MSFS 2024 is reporting the ground height to be continuously changing for a few seconds *after* the flight loads. As in: if we read the ground altitude for 3-4 times in a row, we get different values each time.
With the font, the problem was fixed because we could just re-read the altitude again and clear the screen before drawing any text, but with the static is a bit more difficult, because the static is supposed to be there *before* you even start a flight so, even in the best possible case we might improve on that, you would STILL see the static docking jumping in place as the flight starts.
And guess what, that is exactly what default ground vehicles do (with no GSX involved) when you start a flight! They jump up/down but, because they have a physics and ground contact points, they jump and then settle down on ground. The static docking system is static, so it just stays there until is replaced by the dynamic one.
So again, we'll try to improve this because, I always saw very small differences so it looked tolerable, I never seen such big difference. And no, the 3.5.3 update hasn't changed ANYTHING in the way the STATIC docking system is created, the fix you decided to not noticed was JUST about the TEXT, this would have happened even before the update.
We'll obviously look into this separate issue, of course.