Let's say I have a directory that has a 403 forbidden error for all of the content in it, however a few of the images in the subdirectoies of the main diretory do NOT have a 403 forbidden error. Will this fact affect my ranking?

For example:

test.com/system/ (HAS 403 ERROR FOR ALL FILES) -> test.com/system/pie/ (HAS 403 ERROR FOR ALL FILES) -> test.com/system/pie/image.png (DOES NOT HAVE A 403 ERROR, AND THIS IMAGE IS EMBEDED ON A PAGE ON test.com e.g(test.com/pie/))

This sort of pattern repeats for about 10 different images. This directory is like a secret "system", however all of the content on the main site (test.com) is still accessible to everyone from the public.