A rotatable downhole cutting tool configured for enhanced drive consistency in low power circumstances. The tool is equipped with a hydraulic axial drive actuator suitable for use in wireline deployment. The actuator itself includes a reciprocating piston with a ball screw that threadably interfaces a ball nut for dampening the axial drive imparted by the piston. As such, even though hydraulically driven at generally well under about 10 horsepower, bounce in the axial drive is substantially eliminated. This is particularly advantageous where cutting is to be applied to downhole metal based obstructions.