Paragraphs in Classic block lose ID during conversion

[galbaras]

Description

When converting a Classic block, HTML elements with classes and/or IDs should retain those attributes (all of their attributes would be best). Lost classes in paragraphs were handled via #42172, so this is an new umbrella issue for retaining all reasonable attributes on all element types in Classic blocks when they are converted to blocks.

Step-by-step reproduction instructions

1. Edit page created with Classic Editor
2. Check element classes and IDs
3. Convert Classic block to blocks
4. Compare classes and IDs of elements

Environment info

WP 6.5.5
Vanilla Block Editor in WP 6.5.5

Please confirm that you have searched existing issues in the repo.

Yes

Please confirm that you have tested with all plugins deactivated except Gutenberg.

Yes