There are many lighting options and many of them can work well depending on which anemone that you choose. Certain anemones can do well with less than intense lighting, and some will require much more.. even the different "carpet" species have different lighting needs. An S.hadoni could do well in that system with strong VHOs/PCs/T5s, but a gigantea would need more intensity such as a 250 watt halide. From reading your post, I would recommend sticking with a BTA which will do fine (if all other conditions are good) with anything higher than normal out-put florescent lights.
A few things that I would like to touch base on..
All anemones contain photosynthetic algae called zooxanthellae. They receive their color from the zooxanthellae living within their tissue
They do live off of their zooxanthallae, and when they expel zooxanthallae they turn white/translucent and are considered "bleached" (not healthy) but their color comes from UV protecting pigments. Zooxanthallae is brown if if anemones/corals got all of their color from zooxanthallae they would be brown. Sometimes when corals/anemones are brown, its is from excess nutrients in the water column which the zooanthallae utilizes and overproduces sometimes resulting in a browned out coral.
the actinic just make the colors look better they dont help with the health of the anemone
Correct. Actinic lighting is for aesthetics. Often people running a mix of bulbs could get more light into their tanks if they would swap out the actinics for a daylight bulb.. Only problem is that the tank may not look so pretty without actinic (depending on what other bulbs are being used.)
K is parr rating this is important for coral growth and has to do with you bulbs, look it up on the internet they got alot of stuff on it.
Actually K is the Kalvin temperature (color). The higher the K the bluer the bulb. PAR is Photosynthetically Active Radiation (or basically usable light for the corals/anemones). Usually higher K (bluer bulbs) have less PAR. With less PAR you have less coral growth which isnt always a bad thing.