There is a fundimental misunderstanding here of what constitutes a Lighting and Appliance Panelboard.
Bob has already pointed out the differences. It has nothing to do with the equipment supplied by the panelboard, but the size of the overcurrent device and the neutral connection within the panelboard itself. Take another look at 408.34. (one could supply all lighting circuits without Neutral conductors and the panel would be a Power Panelboard)
Also, the protection for L&A panelboards includes 2 mains, which would support having 2 different circuit breakers in the Milbank setup.
Look at the exception to (B)Power Panelboard Protection.
This gives relief for the service equipment Main, up to 6 throws of the hand.
"I am as rich as Bill Gates"
would you mind if I borrowed a few bucks?