I would have to think that 2 65 watt bulbs, producing a 130 watts would be okay for anemone in a 16" tall tank, especially the bubble tip. That is 4.3 watts per gallon, plus it is not a deep tank at all. If it was a deep tank, I could see it being neccessary for a better light, but I don't see that light being a problem with that size tank.
However, if you really wanted to play it safe, I would never shy someone away from getting a larger light fixture, like the 36" 192 watt light fixture. That would be 6.4 watts per gallon.
If purplefire goes to the site I sent him, it is only $17 extra for the bigger light fixture.