Integer BlockComponent inputs (i.e. block settings) are incorrectly saved as strings

Overview

Placing the admin menu block and configuring it to start at level 1 and show 3 levels works and renders and is valid and saves, but … I see this getting stored in the inputs field property for my content-defined component tree:

{"level":"1","depth":"3","expand_all_items":true,"label":"Administration","label_display":"0"}

🐛 Strings, not integers!

And if I create a Pattern out of it (to create a config-defined component tree):

uuid: d5b012be-b463-46b9-9558-eb88ac87ce7b
langcode: en
status: true
dependencies:
  config:
    - experience_builder.component.block.system_menu_block.admin
id: sadfsadf
label: sadfsadf
component_tree:
  -
    uuid: 0ad04f78-0cb9-4634-9419-6091d1fb4376
    component_id: block.system_menu_block.admin
    component_version: 02b80c9f6cbacff5
    inputs:
      label: Administration
      label_display: '0'
      level: '1'
      depth: '3'
      expand_all_items: true

🐛 Again strings, not integers!

🤯 I'd expected config schema validation to catch this, but while BlockComponent::validateComponentInput() does call config schema validation, it considers these valid! (Because it does the necessary casting based on the schema.)

Yet if I place the exact same block plugin as a block and use the exact same form to set the same settings, I get the following Block config entity:

uuid: eb9d7af5-d296-4481-a1f7-ddfc106f699d
langcode: en
status: true
dependencies:
  config:
    - system.menu.admin
  module:
    - system
  theme:
    - olivero
id: olivero_administration
theme: olivero
region: header
weight: 0
provider: null
plugin: 'system_menu_block:admin'
settings:
  id: 'system_menu_block:admin'
  label: Administration
  label_display: visible
  provider: system
  level: 1
  depth: 3
  expand_all_items: true
visibility: {  }

👆 No strings, but integers.

Proposed resolution

Match the observed behavior of Block config entities.

User interface changes

None.