Lower transmit power means a lower transmitted signal level. At the far end, it would mean lower received signal, which immediately reduces the SNR calculation. Speeds will drop.
A reduction of power level by 9dBm is equivalent to transmitting at one-eighth of the original power.
My rule of thumb is that 3dB of reduced SNR can reduce speeds by 11Mbps for full-speed lines; I think a 9dBm reduction in the power level would map directly to a 9dB reduction in SNR - so yes, you could see a 30Mbps reduction in speed.
My calculation might be out somewhat - I'm never sure when I'm converting between power and signal. But I'd still expect a big reduction in speed.