The simplicity comes from adding it to the search domains list, or domains that will be automatically appended to queries that aren't fully qualified.
As .lan,.local,.corp etc... aren't marked as internal, the root domain servers recieve thousands of queries per second for these internal use domains.
Not only does this add load to the root servers and add lag to applications, it leaks internal information while providing zero value to the user.
Just as you never have to type '.localdomain' on a CentOS or Fedora box, you won't have to type it with this change unless you want to specify a fully qualified domain.
Another advantage may be a simplification of internal certificates without the current risky practice of adding internal CAs to the global CA list to get around this problem.
https://cabforum.org/internal-names/
The CAB forum doesn't care about internal use but we have to all deal with it. It is quite possible that if this is standardized that companies could apply for intermediate CA's signed by a public cert that only apply to RFC1918 space and the .internal. TLD.
Although they will probably still claim it is out-of-scope:
https://github.com/cabforum/forum/blob/main/CSCWG-charter.md...
But at least with an but with a official non-global TLD it may be possible to make a case for it.