Sorry, I just noticed you have a late shifting problem and I gave you my slipping diatribe! Well my insight into late shifting is a seized throttle position cable (most times mis-identified/characterized as the "kick-down" linkage) or bent linkage or weak/missing return spring. In transmissions that have this, and I don't know if yours does, the transmission valve body can judge the throttle position and therefore would not up shift if the cable/linkage indicates that the throttle is opened pretty wide, indicating you want to accelerate and not up shift yet. When you back off the throttle the spring either at the throttle body or on the tranny would pull the linkage back and the tranny would then up shift. I've seen gunk build up enough that in combination with an old weakened spring and corroded cable linkage, don't return easily and cause erratic up shifting. But this is all mute if your tranny is electronic or has some other control for up shifting.

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Problems while owning '99 E430
Continual ABS/BAS problems.
P.S. pre-catalytic convert rusted out at 90k
Ignition key actuation problems.
Gear shifter shift gate issue.
Bad antenna amplifier.
CD changer.
Heated seats never worked.
Biannual air conditioning failure.
Power windows and moon roof.
Leaky valve covers.
Rear power window broke.
Poor rear lamp connections due to bi-metal corrosion.
Maybe my spring perches will fail someday!
Engineered like it's not a car