Most people, from my experience, use the name "rose" or "red" quite interchangeably, and do not necessarily refer to specific color morphs. I've actually never heard of someone differentiating between "rose" and "red" the way you propose. While I won't argue that there are different color morphs even of the red colored bubble tip anemone, what then is a red bubble tip with white speckles? stripes? I've had both, but only called them "red bubble tip anemone". There's already too much confusion with naming, and because of this reason I see it best to simplify.
They are both the same thing.
This could be said about almost anything in a reef tank..
Ive seen donuts with hundreds of different colours, Torches with different colour tentacles and balls, acros, etc...
Cant give it a new name just because of the colour differences.... Red / Rose are pretty much bubble anemones in the 'red' colour spectrum
Yea...peeps have said they're the same but they're different morphs IMO. The roses typically have some green in the oral disc, as well as the base of the tentacles..then it turns to the rose color. The reds are pretty much all red..the oral disc has a touch of purple.
When the ones with the green on the base of the tentacles started coming in we called them crap, because they usually turned brown in a few weeks.