I fly the NG and only have a few hours on the CL so not sure,but i dont see why not,both have mach trim and speed trim system.
The speed trim after take off is for speed stability when in a low speed-high thrust scenario,the FCC will command the stabilizer CPU to mive it downwards to induce an increase in speed.
The mach trim in our case moves the elevator to a neutral position so the elevator can be moved more upwards in case anenginefailsduring take off,a different function of the mach trim other than speed stability at mach .615 and above.