This is invoking a shell and that's how shells typically work, one command at a time. Would it make you feel better if they added && or used a step like they also recommend to split these out? You can put the error handling in your script if need be, that's on you or the reader, most CI agents only understand true/false or in this case $?.
Nobody said they want that behavior, they're showing you the behavior. They actually show you the best practice behavior first, not sure if you didn't read that or are purposely omitting it. In fact, the portion you highlight, is talking about permissions, not making suggestions.
- name: Run a script
run: ./my-script.sh
- name: Run another script
run: ./my-other-script.sh