[BUGFIX] BE shortcuts do not show up for editors

Due to some wrong or missing checks the link to create a shortcut
to a create new record form misses the correct name of the
"motherModName" as a result the shortcut links are not rendered
for non-admins. For admins these links do not work if PHP notices
are transformed to exceptions.

Resolves: #59946
Releases: 6.3, 6.2
Change-Id: I9acd74fd5dfefea62badc79e42e380466ce6c497
Reviewed-on: https://review.typo3.org/31172
Reviewed-by: Markus Klein
Tested-by: Markus Klein
Reviewed-by: Marcin Sągol