I just installed same and noticed this on first start in the garage, auto S/S I haven't noticed yet as it's only been driven in the day, I will keep an eye on it.
I am guessing the LEDs respond way faster to the power cut off when starter is engaged. All modern cars do this, they cut power for an instant to all non critical loads to maximize the amperage available to the starter.
The halogens take a second to cool down, watch your front indicators blinking, they are halogens and they dont on/off, they fade in and out. So I guess what you are seeing is the difference between a halogen that fades out but the power comes back before its dimmed a lot and a LED that turns off instantly.
A big capacitor would resolve this and I'd bet dollars to donuts that the official LED headlamp assembly has a capacitor bank built in to maintain power while the starter operates.