are any of this boxes needed for the ls1/4l60e with no heat and no a/c

 

Not to all 4

Lower left creame is the buffer box. Unplug and jump pins C&F. Discard the box

Black box behind it is VATS. The only part remaining after the conversion will be the starter enable relay. Its located behind your drivers kick panel. Connect the two 12ga wires and its bypassed

Big silver box is the old ECM. Obviously getting replaced by the LS1 PCM

Far right black box is for the old vacuum cruise box. Its not compatible with the LS1 PCM whether or not you want to keep cruise, so remove it