At one point they had the BBC video ident as obit presentation during the Balloon era until it was dropped a few years later, they never used it.
It wasn't that they used the BBC Video ident, it was the generic BBC logo that was introduced in 1997, use whenever it wasn't a specific brand being referred to. Two other places it was seen was on flags outside BBC buildings and as the wallpaper image on the BBC desktop computers.
On screen it was known as the 'Family Symbol', family as in it was to be used on the family of channels. There was a clock to
It wasn't used as it wasn't needed, unlike its predessesor which was seen in the night Diana died. I expect the modern day version is that wavy looped logo seen occasionally