Is that the released schematic for that Module?
I can see why they have the resistor removed.
The CE line is a active high input to the nRF24L01P. The RXEN is a input to the RFX2401C used to switch in the different modes. (See the mode select table below)
The CE line could / should be controlled by the host MCU. You can see this on the state machine in the nRF24L01P datasheet section 6.1.1, Figure 4. The diagram shows recommended operating modes vs. possible operating modes.
For the RFX2401C,,,,
If the RXEN is pulled high with a resistor and when the nRF24L01P is not transmitting, the unit will switch the LNA in. In this setup the RFX never goes to shut down mode and the RFX is either in TX or RX mode. There are no internal pull ups or pull downs on the nRF24L01P CE or or the RFX devices RXEN. Therefore there is no guaranty that the lines will be high or low and could be subject to noise. I would not leave them floating.
Control Logic Truth Table X= Don't Care
TXEN RXEN 0perating Conditions
1 X TX Active
0 1 RX Active
0 0 Chip is Shut-down
To address the Current Draw. According to the RFX2401C datasheet, when the PA is transmitting at 20dBm the current consumption of the amp is 120mA. Plus whatever else you have running. (MCU, nRF24L01P, etc)