Massively, a name creates an image and in some cases, meaning and a persona. Names have the ability to give people an impression before they even see it. You know when you hear a name like Nemesis it won't be a kiddie coaster.
A good name can finish off the theme and story of a ride, and give it purpose, and is massive for marketing. By using an uncommon word, like Oblivion or Nemesis, you put the word into the public eye and forever associate the word with the ride. Alternatively, you can use a common word, like air, and give a new meaning to the word. It also spreads word of the coaster because it is a word used all the time. As before it associates the word with the ride and links the two together.
Pepsi Max Big One may sound bad, but PMBO is fantastic advertisement for Pepsi, and Big One describes the ride and is quirky and unusual. Anyone, even people with no experience of the ride, hear "Big One" and think of the ride. So although the name is not good on the surface, it actually is very good.
Rita: Queen Of Speed is too original. It works in theory, the word "Rita" is now asociated with the ride, and Queen of Speed gives meaning to the first part of the name and describes the coaster, but it is a wierd name and needs to be described in it's own name. Oblivion, for example, gives an image of darkness and danger. Rita gives an image of old people. A good name does not need to be described in a sub-name. That said, it does not affect the ride in anyway, when you ride it, you don't think about the name. It does however affect the experience because it does not create an atmosphere like a good name can produce. Words like "Nemesis" intimidate people with visions of power. Rita intimidates you with visions of having to do crosswords.
Conversely, if Nemesis was named "The fluffy bunny ride" it would not work at all. It would not create the image the park wants and does not fit with the theme or idea. Even an unthemed ride needs a good name. Calling any thrill ride "The fluffy bunny ride just would not work. Words like "Scream!" and "Nitro" describe the ride and give an impression of what to expect.
Also, a good name does not need you to know the meaning, look at Shiekra or Kumba, you don't have to know they are African words to know the ride will be big and intmidating.
I know I've gone on a bit here, and I could go on for longer, but I've got most of my opinion out, and most of what I have said has been covered already, as has probably what I have left, so I'll leav eit at this for now.
PS That picture is great!