Some item text components are not correctly upgraded from 1.20.2 to 1.20.4+

Expected behavior

The text components on the item are correctly upgraded to 1.20.4, regardless of if there is quotes around true/false text components.

Observed/Actual behavior

The item appears to have no name/lore if quotes are present around a true/false. While the quotes were technically still considered incorrect before 1.20.4, older versions were less strict and rendered names and lore fine.

Steps/models to reproduce

On a 1.20.2 server, /give yourself 2 items:
/give @s cookie{display:{Name:'{"text":"Item with quotes on false","color":"yellow","italic":"false"}'}}
/give @s cookie{display:{Name:'{"text":"Item without quotes on false","color":"yellow","italic":false}'}}

Both items should render correctly:

Update that server to 1.20.4, and the item with quotes around false loses it's name completely, while the one without continues to work fine:

Plugin and Datapack List

plugins
[01:38:05 INFO]: Server Plugins (0):
datapack list
[01:38:28 INFO]: There are 2 data pack(s) enabled: [vanilla (built-in)], [file/bukkit (world)]
[01:38:28 INFO]: There are no more data packs available

Paper version

version
[01:57:25 INFO]: Checking version, please wait...
[01:57:25 INFO]: This server is running Paper version git-Paper-477 (MC: 1.20.4) (Implementing API version 1.20.4-R0.1-SNAPSHOT) (Git: 1207162)
You are running the latest version
Previous version: git-Paper-318 (MC: 1.20.2)

Other

This is an upstream issue with vanilla, but due to the potential for it to damage custom items on servers, I feel that it is within scope for Paper to patch.
I've created a report on Mojang's bug tracker here: https://bugs.mojang.com/browse/MC-270473
It's worth noting that Paper is worse off than vanilla here, as the items that have the now-invalid NBT just get the tag completely stripped rather than it just not rendering the name/lore.

No source file or test is named. Reproduce the issue with the two /give commands, upgrade from 1.20.2 to 1.20.4, and trace the item text-component upgrade path; done means quoted true/false components retain their item name and lore after upgrading.