"value_template" not working for switch

Configuration
1

I’m new to HA, so I may not understand correctly how “value_template” works …
I want to get a switch that, when turned on, sets the brightness to 120 units. But since in the topic there may be other values, then for all values ​​greater than 0 - the switch should be interpreted as “on”, with a value of 0 - “off”.
I made a template to interpret the value from the state topic as: if it is greater than 0, then 1, if it is 0, then 0.
But for some reason the switch does not see the value “on” - when the value in the state topic ! = 0.
Here is the code for the switch:

- platform: mqtt
    name: "50%"
    unique_id: kitchen_ceiling_light_switch
    state_topic: "Kitchen/state/brightness"
    command_topic: "Kitchen/ctrl/brightness"
    payload_on: 120
    payload_off: 0
    value_template: >
         {% if value|int > 0 %}1{% else %}0{% endif %}
    state_on: 1
    state_off: 0
    qos: 0
    optimistic: false
    retain: true

Thank you!!!

2

Just omit the off state_on/off and use the following template:

switch:
  - platform: mqtt
    name: "50%"
    unique_id: kitchen_ceiling_light_switch
    state_topic: "Kitchen/state/brightness"
    command_topic: "Kitchen/ctrl/brightness"
    payload_on: 120
    payload_off: 0
    value_template: "{{ 'ON' if value | int > 0 else 'OFF' }}"
    qos: 0
    optimistic: false
    retain: true