Even so, not having to burn fuel to spin the turbopumps is potentially pretty big.
The fuel pumps in an orbital rocket use a lot of fuel that doesn't directly contribute anything to thrust. This results in a significant reduction in Isp, which you basically can't have enough of.
The Russian RD-180 engine that powers some of our launches today uses a system that "recycles" the fuel pump drive turbine exhaust into the main engine's exhaust stream, thereby recapturing some of the work lost to the task of pumping fuel into the combustion chamber.
The RD-180 accomplishes this, but at a price: the turbopump engine has to operate at engine chamber pressure, which puts it under a lot of additional stress. RD-180s have been known to blow up on the launch pad. IIRC, they are not "man-rated," largely for this reason.
The batteries, motors and pumps would have to weigh less than the turbopumps and fuel they consume for this to work. Batteries weigh less than fuel producing the same energy? The turbopumps on the shuttle produced thousands of HP.
The Tesla has 1200 pounds of batteries to equal a 100 pound tank full of gas.