Why does bash with "here documents" redirection start as interactive?

I found the following in man bash as a definition of interactive shell: > An interactive shell is one started without non-option arguments > (unless -s is specified) and without the -c option whose standard > input and error are both connected to terminals (as determined by > isatty(3)), or one started with the -i option. PS1 is set and $- > includes i if bash is interactive, allowing a shell script or a > startup file to test this state. So, interactive shell is the one that: 1. doesn't have non-option arguments (unless -s is specified), doesn't have -c option and whose standard input and error are both connected to terminal; or 2. has -i option I wrote the following example: ``` bash This type of redirection instructs the shell to read input from the > current source until a line containing only delimiter (with no > trailing blanks) is seen. **All of the lines read up to that point > are then used as the standard input** (or file descriptor n if n is > specified) for a command. It says that standard input is all lines read up to the delimiter (I assume that they are then passed to the command by redirecting the command's standard input to a pipe or something like that). Therefore, standard input is not (connected to) a terminal. Why is this happening? Why is bash interactive in this case?