Should the IANA functions be split in two?

In March 2014, the National Telecommunications and Information Administration (NTIA) announced that it will transition its oversight of the Internet Assigned Number Authority (IANA) functions to the global community. IANA functions cover both IP number resources and domain names. Milton Mueller offers a summary of the IANA transition, and its implications. He concludes that oversight of number administration and domain name administration are considerably different, and these functions should be separated with accountability for each assigned to different organizations.  See Cauldron part 2: Is the names IANA compatible with the others?