They can both be called "14K" bulbs, but in reality they have completely different spectral qualities. "14K" is more of a nickname for any brand bulb. The "K" numbers are just to identify the colors of the bulbs for each brand, as the manufacturer wish.
Phoenix 250W 14K on M80:
Ushio 250W 14K on M80:
Above you will notice that the Phoenix is a bluer bulb and the Ushio represents more of a full spectrum.
Choose the color you like the most. They both will give you amazing results. Normally the "whiter" the light, the faster is the growth for most coral species and the more favorable it is to algae growth too, so you need to pay a bit more attention to nutrients, normally. Once the system is established it shows the power of a natural growth with it's amazing colors!
If you choose to keep the Ushio 14K just adapt the system slowly (less hours per day) to make sure the corals will be able to follow the change.
Ushio bulbs are a little stronger by nature, yes. Even between the Ushio 14K and the Hamilton 14K (very similar to the Ushio 14K in appearance), using the same ballast, you can notice the difference. This is just one more thing to consider when choosing the right equipment to reproduce the results and to keep what you choose. They are both great bulbs!
You will need some time to notice the final changes in colors coming from a 20K to 14K like that in most cases. After the first 3 months, having the system properly adapted to the new spectrum, you will start to see the changes, which in reality are part of the adaptation. Real pigments need some time to be produced.
Gotta love all halides!!