Northern Ireland is often referred to as Ulster, despite including only six of Ulster's nine counties. This usage is most common among people in Northern Ireland who are unionist, although it is also used by the media throughout the United Kingdom. Most Irish nationalists object to the use of Ulster in this context.
I don't see why there is an issue with UTV Live considering that Granada Reports hasn't been renamed.
And Inside Ulster became Newsline. Not quite sure why Radio Ulster continues to have that name.
The BBC have never really used too much imagination naming their local and regional services. The ILR service called themselves Downtown Radio so as not to cause any problems. Perhaps following the example of Foyle, Solent, Merseyside there is some geographical feature they could use?
^Radio Humberside too - it got it's name for the same reason Merseyside did, simply because it's region covers both sides of the river - it's not named after the now-defunct county as the radio station predates it.
You would think they'd use the name BBC Radio Northern Ireland. Or Radio NI for short.
Radio NI seems the more sensible option. BBC NI is already a term associated and used for the TV service so Radio NI is a no brainer. I imagine changing it from Radio Ulster to Radio NI will cause some upset for some sections of the community. They are probably damned if they do and damned if they don't.