I think some of the confusion between the LSA and ICL numbers is in the way they are related to each other. The Lobe Seperation Angle is the number of camshaft degrees between the center of the Exhaust lobe and the center of the Intake lobe. Because the cam turns at 1/2 the speed of the crank, If you wanted to express the advertised LSA numbers in crank degrees you multiply the LSA by 2.
The relationship between the LSA and Intake Center Line (ICL) is when you install a cam "straight up", the piston will be at TDC right in the center between of the exhaust and intake lobes where they overlap. If you go from TDC clockwise to the number of degrees the LCA number is in crank degreed, then the cam should be at max lift (center line of the intake lobe) which verifies that at TDC the cam was 1/2 between the center of the Exhaust and Intake lobes. So when degree the cam "straight up" with the ICL you are just verifying the exhaust and intake valve are equally open (overlap) at TDC.

The reason cams are degree in near peak lift (usually 0.050 below peak lift) is the lobes are more symmetrical around the lobe center line, than at low lifts where the opening and closing ramps cam make the lobes asmmetrical (more or less lift on one lobe side compared to the other side of the lobe at equal distance from the lobe centerline.)