Absolutely not what I said. I am sure they are identical. Rotation speed is not relevant.
The point is simple, on my system at least, the erratic squirrely ground behaviour on take-off is mitigated by nose up trim (even half a degree) before take-off but is not mitigated at all by using backwards stick. The difference on my system is so pronounced that I will immediately know if I forgot to change the trim before take-off.
Apparently nose up trim does not make the take-off roll more stable on your system but does on mine. Might be different rudder settings or something, who knows.
Whatever the difference is, it is not relevant. People with take-off issues relating to erratic yaw on ground roll should at least try adding a touch of nose up trim. It worked for me and might possibly work for them. If like you they see no difference, no harm done worth a try.