[@rollup/plugin-tpescript] Rollup does not get module and moduleResolution settings from extended tsconfig.json

[floratmin]

• Rollup Plugin Name: @rollup/plugin-typescript
• Rollup Plugin Version: 11.1.6
• Rollup Version: 4.18.0
• Operating System (or Browser): Ubuntu 22.04.4 LTS
• Node Version: 22.2.0, but also not with 20.14.0
• Link to reproduction (⚠️ read below): rollup-tsconfig

Expected Behavior

Settings for module and moduleResolution in compilerOptions in tsconfig.base.json should be also used for tsconfig.lib.json and tsconfig.rollup.json.

Actual Behavior

If I do not specify 'moduleandmoduleResolutionintsconfig.rollup.json` I get the warning

(!) [plugin typescript] @rollup/plugin-typescript TS5110: Option 'module' must be set to 'Node16' when option 'moduleResolution' is set to 'Node16'.

The same warning appears when I do not specify these settings in the rollup.config.ts in the typescript plugin options or in the file tsconfig.lib.json.

Additional Information

[sam-mfb]

This looks like it is probably the same as this issue. That reporter provided a detailed explanation of the source.