[TASK] Use custom element for indexed search statistics

This also removed a duplicated check for the element's type.

Resolves: #104354
Releases: main
Change-Id: Ied1cb75ad556efee5a942cb89c6a65f9a8290c19
Reviewed-on: https://review.typo3.org/c/Packages/TYPO3.CMS/+/85218


Reviewed-by: Jochen Roth <rothjochen@gmail.com>
Tested-by: Oliver Bartsch <bo@cedev.de>
Reviewed-by: Oliver Bartsch <bo@cedev.de>
Tested-by: Jochen Roth <rothjochen@gmail.com>
Reviewed-by: Andreas Kienast <a.fernandez@scripting-base.de>
Tested-by: Andreas Kienast <a.fernandez@scripting-base.de>
Tested-by: core-ci <typo3@b13.com>