You are correct. From this C Preprocessor doc:
2.1 Include Syntax
Both user and system header files are included using the preprocessing directive ‘#include’. It has two variants:
#include <file>
This variant is used for system header files. It searches for a file named file in a standard list of system directories. You can prepend directories to this list with the -I option (see InvocationInvocation).
#include "file"
This variant is used for header files of your own program. It searches for a file named file first in the directory containing the current file, then in the quote directories and then the same directories used for . You can prepend directories to the list of quote directories with the -iquote option.