Phoenix does nto always have the name on it 'Phoenix'. Mine don't. If they were not on right now I would look, but I do know that they do not say 'Phoenix'. Many bulbs along with many other products such as cameras for example (just a change in the housing), are manufactured by a generic co that puts a brand name on it and sends it to the brand name co to sell as their own. Nothing new, been going on forever. THe brand name co specifies certain specs and physical details.
If the sheet that came with the bulb says it is a Phoenix and states that the name is not on the bulb, does nto mean a thing. It is most likely a good bulb with a nice color output.
Oh, and any 14K is going to look better than 10K