Stop, condition, parallel, sequences?

Ok, I’ve been reading the “Script Syntax” documentation, but I am not sure if I understand how stop: and condition: are different (at least in the case of the condition not being met) or how either of them behaves within parallel: blocks or within other types of “sequences” like repeat:, if:, choose:, etc.

The documentation seems to indicate that both will only ever finish the current sequence, never the entire script/automation unless called from the “base sequence”. However, some testing suggests that not only is that not correct, but that in fact condition: "{{false}}" and stop: behave differently.

The following test script will never log a “It finished” message. If I remove the 3 second delayed stop: form the parallel block, it however will.

alias: Test Scipt
sequence:
  - if:
      - condition: template
        value_template: "{{true}}"
    then:
      - service: notify.persistent_notification
        data:
          title: It's true!
          message: It's true!
      - alias: If enabled will prevent execution of remainder of script
        enabled: false
        stop: 'Stop in if block'
      - condition: template
        value_template: "{{false}}"
      - alias: Will never run, but rest of script will continue
        service: notify.persistent_notification
        data:
          message: Past condition/stop
          title: Past condition/stop
  - service: notify.persistent_notification
    data:
      message: Before paralell
      title: Before paralell
  - parallel:
      - sequence:
          - delay: 1
          - alias: Will run and terminate this sequence
            condition: "{{false}}"
      - sequence:
          - delay: 2
          - alias: Will run and emit the notifcation
            service: notify.persistent_notification
            data:
              message: After 2 seconds
              title: After 2 seconds
      - sequence:
          - delay: 3
          - alias: Will run and terminate this sequence and the remainder of the script
            stop: After 3 second stop
  - alias: Will never run because the stop in the parallel block terminated the script
    service: notify.persistent_notification
    data:
      message: It finished
      title: It finished
mode: single

Is the documentation incorrect/incomplete? Am I just not understanding it correctly? Is there another resource somewhere that goes into more detail on how these different structures interact with each other?

After rereading the documentation I think what confused me was the repeated use of the word “sequence” in the stop documentation. If you’d replace “sequence” with “script” in that part of the documentation, I think the behavior becomes more clear.