<<-, you can only indent with tabs.Any code using <<- that is indented with spaces.
cat -T script shows
    cat <<- foo
        Hello world
    fooCode using <<- must be indented with tabs.
cat -T script shows
^Icat <<- foo
^I^IHello world
^IfooOr simply don't indent the end token:
    cat <<- foo
      Hello World
foo<<-, by design, only strips tabs. Not spaces.
Your editor may be automatically replacing tabs with spaces, either when you type them or when you save the file or both. If you're unable to make it stop, just don't indent the end token.
None. But note that copy-pasting code to shellcheck.net may also turn correct tabs into spaces on some OS.
ShellCheck is a static analysis tool for shell scripts. This page is part of its documentation.