[CLEANUP] Superfluous Code in ElementBrowser and BrowseLinks

Resolves: #56290
Releases: 6.2
Change-Id: I85348aea9fd514b9774b63846f444fcb9a8310e4
Reviewed-on: https://review.typo3.org/27856
Reviewed-by: Wouter Wolters
Tested-by: Wouter Wolters
Reviewed-by: Markus Klein
Tested-by: Markus Klein