That is correct, different drivers have different impacts on the amount of current that a lighted switch draws.
3.07 mA is a lot of current (at least for me) and it must be very bright! At that current, your battery will be dead in less than 2 months so keep an eye on it. My orange measures 0.48 mA at 4.1 volts which is plenty bright at night. I change the resistors on my lighted switches in order to get the brightness that I want.
If you want bright with less current, stay away from red and orange. Green is by far the most efficient of the lighted switches. Compared to orange for similar brightness, my green measures at 0.07 mA. Blue is also pretty good at 0.17 mA.
And perhaps what you are experiencing with the modes on your drivers is due to the lighted switches. Most of the time you will need to add a bleeder resistor to keep the driver behaving like it’s supposed to. Some of the Convoy drivers specifically state they’re compatible with lighted switches which is a nice feature.
Here is an excellent post about lighted switches in case you’re interested: D.I.Y. Illuminated tailcap.