I assume you checked the fluid level following the owners' manual procedure.
This behaviour must be very unpleasant and is definitely not the way the car is supposed to shift. My own '69 280 SL shift points are very responsive to the gas pedal: when I want it to shift at low RPM's I go light on the gas pedal and, voila. When I want to pull to redline, I just press down (without engaging the kickdown switch) and there it goes. No difference between cold and warm engine in the shifting characteristics either.
There are various factors that, beside the condition of the transmission unit itself, come into play. Two of these: (1) the transmission linkage and (2) a 3-position switch mounted on the transmission that can be observed through a plate that is on the transmission tunnel on the passenger side. Joe Alexander contributed the following diagnostic procedure. You might want to start there to diagnose your problem:
"You can remove the access cover on the passenger side tunnel area and observe the movement of the transmission linkage and three position solenoid, while test driving the car. You will need a second person and a flashlight. The kickdown or passing gear switch on the floor under the accelerator pedal must be engaged and working to activate the solenoid. When fully depressed this switch is engaged and it energizes the three position solenoid which will move the control pressure linkage on the side of the transmission. This linkage changes the control pressure at the modulator assembly on the transmission and causes the downshift. Make sure you have power going in and out of the accelerator kickdown switch when it is depressed.
Next try observing the operation of the three position solenoid. Position one at idle in gear, position two after driving off, position three at full throttle (accelerator fully depressed and switch engaged). If all seems to be working ok then more complicated adjustments can be made at the modulator or the linkage on the transmission (do this only as last resort and after everything else is checked out).
Good luck, and please others (Bob, Tom, Joe) jump in if you recognize this particular problem
Cees
white 1969 280 SL