That sounds odd.
This remote uses 8 MHz 3.3V Promini powered with LiPo connected to VCC
When transmitting, power is ~15mA, drops down to ~5mA when in power down sleep mode in between button presses; LED uses some, Tx uses some, MAX1811 for battery charge control uses a little, maybe some leakage to the regulator. 1000mAH battery goes at least a month between charges and in frequent use.
You could try adding a diode from Vcc (anode) to RAW (cathode) to avoid reverse driving the regulator.