Wait for trigger vs wait for template

Configuration
1

Can I just confirm the difference between these two statements:

  - wait_for_trigger:
      - platform: state
        entity_id:
          - timer.ensuite_bathroom_fan_timer
        to: idle

and

  - wait_template: "{{states('timer.ensuite_bathroom_fan_timer')=='idle'}}"
    continue_on_timeout: true

Am right in saying that wait for trigger will wait forever for the state to change to idle, if its current state is already idle, but wait_template simply waits for the template to evaluate to true, which could be instantly if the state is already idle when evaluated in an automation ?

2

Yes, a wait for trigger needs the state to change to the desired value.