With respect, there's something wrong with your depiction of the type 1 schematic: it's clearly not 4 components and 6 elements. It's difficult to tell whether the third element from the left is solid or an air gap but if it's solid then the three cemented elements form a group (or "component") and the formula is 4/8. If it's an air gap then there's an additional group and one less element and the formula is 5/7.
Either way, the optical designs for type 1 and type 2 are not the same.
The schematics are straight from original Canon Catalogues, I've not drawn them up.
I think the third element from the right is definitely an air gap, looking at it closely though from the right the 2nd group looks like it contains 3 elements which would still give 7 in total.......??