There are sites (can't think of any off the top of my head but I've seen them) that sell 'ash caps'. They're basically a slip-on plastic cover that hides the light.
A more permanent solution would be to gently, GENTLY cut the glue holding the light in with an exacto knife and GENTLY pry out the LED. Snip the wires to the light and tie them together to complete the circuit being careful to wrap the connection so no bare wire touches anything else- not other internal components, not the sides of the tube, nothing.
A drop of super glue should hold the end back in.
On the plus side, you should get a miniscule amount of power increase, but the down side is HUGE. You will have no way of knowing when to recharge. I know they are small, but discharging ANY battery too low can cause them to fail and even cig-a-likes will vent under the right conditions.
Not a good thing.
Best bet is the first option. The other carries too much potential risk and the only reason I even brought it up is too point out the dangers in case someone else suggested it.
Good luck and I will see if I can find some ash caps for sale.