One of the ebay links shows a circuit diagram which looks a bit odd. The 4017 chip is used in a very strange way, it's flashing one bank of LED's on and off 3 times then the other bank 3 times. This may be because it's overdriving them at 12v and giving a cooldown period.
Around 40-50 years ago I built a circuit with these 2 chips and LED's as a darkroom timer - the 555 pulsed the 4017 once a second which lit 10 red LED's in sequence then repeated.
At 6v you may find the flash speed is different from the 9-12v rate.
As for LED /resistor values - at 6v you'll lose 0.7v through the transistor leaving 5.3v, so if your LED has a forward voltage of 3v, you'll need a resistor of 110 or 120 ohms for 1 led. If you just use the 555 chip to drive 1 led, the 4017 and transistors are not needed.
I'm not sure this device is ideal for you but if you let us know exactly what you are trying to achieve (flash rate, on/off times, number of led's), we might be able to give better advice between us.
I just saw the circuit for the first time a moment ago.
A two second glance confirmed exactly what I thought in my previous post. At six volts it won't drive
all three blue and strings of four red in series. It can be changed to parallel.
There is no voltage dependence on the frequency.
The diagram shows the 4017 outputs use diode logic in wired-or. So all 12 blue alternate with 12 red.
It's ideal with no issues at all. You'll find it better to use the more accurate model for leds is with lower V
on & 20 ohm internal resistance if the external series resistor is only 100 ohm.
You can adapt the led drive to a constant current, Id= 0.6/R, circuit with another resistor & signal transistor. So 4 to 15 volt in supply shows no difference in brightness.
I think using a receiver pack or esc bec for lights is a bad idea.
https://www.onsemi.com/download/data-sheet/pdf/ss8050-d.pdf
If you had electronic scrap components, and thin ply or card, this circuit with constant current led driver does the job without the versatility the kit modules provide.
Link