Yes, this is what I found as well.I have a Latigo strop that is on the stiffer side. This works grate on heavier razors, but for thinner ground lighter razors i do not like this particular strop. It is difficult to get the razor to conform to the strop without applying to much pressure. For lighter razors i prefer to use leather that is more supple and maybe a little thinner.
Stropping does have many variable to consider. Someone stropping a wedge might get away with something that might not work as well with a extra hollow ground light razor. The weight of the razor pressure will not work if you strop a feather light razor on a "stiff" wide leather strop.
I am still looking for a strop that is a good allrounder. The Kanayama strops is a good candidate, but to expensive where i live at the moment.
On average, I found thin leather more adaptable to different razors than thick, especially if the leather was not perfectly flat, which leather very rarely is.