Because the tabbed item sets a limit on the title column in the database schema, but does not enforce that limit in the widget (because that uses the max_length setting in stead of 255), users can cause a database error by setting the max_length setting of the field higher than 255 and inputting a title with more than 255 characters.
There are 2 possible solutions is can see:
Because of this field possibly being used in layout builder, which can save the state of the title fields with more than 255 characters, the first option might cause a bit more friction.
I think the tabbed item field could use a bit more refactoring in general, but that might just be my opinion.
Active
6.0
Code
Uploading a patch I used for a project that implements the second possible solution (updating the database schema), because they specifically wanted to be able to use longer titles.
This patch was made on the 6.0.0-alpha38 version of this module, but should work on later versions as well.