core: Reload of input_text doesn't reset to initial

The problem

Pretty much as the title says.

The ‘reload’ service should be just that and completely reload input texts as though HA was restarting including the initial value.

At the very least it should be an option.

For that matter, this applies to any input_*

Environment

• Home Assistant Core release with the issue: 110.3
• Last working Home Assistant Core release (if known): n/a
• Operating environment (Home Assistant/Supervised/Docker/venv): Home Assistant Supervised
• Integration causing this issue: input_text
• Link to integration documentation on our website: https://www.home-assistant.io/integrations/input_text/

Problem-relevant configuration.yaml

`service: input_text.reload`

Traceback/Error logs

Additional information