I've just tested AMC driver.
I used only one AMC7135 chip powered by 8V and with dummy load that has forward voltage of 3.4V on 300mA.
And used one of these UF 501B heatinks just to cool down one AMC chip.
I tested for over 63 minutes to see if AMC is stable at these voltages.
And AMC survived
Current starts at about 315mA and lowers down to 300mA very quickly.
And current becomes stable at about 295mA.
I calculated power dissipation and it's 1.38W by one chip.
But with real blue diode forward voltage is even higher that means less heat dissipation on AMC.
And if we want to use 3xAMC there will be more voltage drop on batteries that also means less heat dissipation.
All that says that AMC can work as driver for these diodes but there will be much more heat dissipation than if we would use boost driver.
After 63 minutes this heatisnk for UF host was pretty warm an that caused only one AMC chip.
If we use 2 more chips , plus diode then there will be a lot of heat dissipation.
That means short duty cycle.
Or we can use bigger heatsink.