[TASK] Streamline RecordListController

Apply a basic cleanup to the RecordListController
(list module) and apply new backend templating
strategy.

Resolves: #96784
Related: #96730
Releases: main
Change-Id: I041e26a127ed1368dfd2aed01ceefc64ca662eb4
Reviewed-on: https://review.typo3.org/c/Packages/TYPO3.CMS/+/73353


Tested-by: core-ci <typo3@b13.com>
Tested-by: Stefan Bürk <stefan@buerk.tech>
Tested-by: Benni Mack <benni@typo3.org>
Reviewed-by: Stefan Bürk <stefan@buerk.tech>
Reviewed-by: Benni Mack <benni@typo3.org>