From Ricks recent data log...
The input speed is supposed to be locked to the speed at a ratio depending on the gear you are in, because behind it is just gears and clutches. In front of it is the turbine, impeller, and stator that can slip. Also the OD gear but that only counts in OD, and the TCC but that only counts when locked, so ignore both for now.
Now look what happens, when you give it a little throttle, RPM starts to climb, input shaft starts to climb very fast, then the output speed starts to stutter first, then it transfers to the input speed. But first the trans slips because input speed climbs very fast. Then when you let off a little and it shifts to 2nd gear, the output stutters again, not the input, it drops to 2nd gear. Then it does it again when you let off completely. Your speed is not smooth.
This means the stutter is likely starting somewhere in either the trans, tire, shocks, suspension, axle, driveshaft, etc. Somewhere behind the input shaft. Its possible its in the trans because of the stutter during the initial slip.
For illustration of what a good log shows, here is a a few year old datalog with the same data showing from my car on an NA pass.
You can see where I'm on the transbrake/2 step, then you can see the launch. You can see during the launch my body shifting back actually let off the throttle about 10%, I needed to put my seat forward 1 notch and/or hold tighter.
You can see my converter is too tight, the RPM climbs, drops a tad, then climbs again. Its not because of the throttle because it does that at 100% throttle too, and my car with the 2200 CFM throttle body will actually run the same time at 80% throttle, because the throttle blades are still very close to wide open, that is not normal, just a huge throttle body.
Then you can see how 1st gear RPM climbs real fast, then 2nd gear not quite as fast, then 3rd gear is 1:1 with speed. Speed also climbs slower because of both gearing and wind resistance, not accelerating as fast at 140 MPH vs 40 MPH.
You can see a tiny but of tire spin on the 2nd gear shift.
Then you can see at no throttle during the decel the speed is higher than engine RPM until the converter lets it idle again.