Where are the spots located? Would you say there are a lot or a handful? Are the white spots the same color as the rest of the anemone? How about the tips of the anemone, is there color there? For good measure, what color would you say the anemone is? How about the stalk/foot? Is it a different color from the disk or tentacles?
I have an H. crispa (lots of these are called sebaes), and yours looks similar to mine, but it could still be something else.
Unfortunately, it's hard to tell colors from the picture (at least on my monitor). The spots (they're called verucae (or something like that) but I can't remember off the top of my head) under ours appeared white when we got it, but our nem was bleached, but the spots matched the color of the rest of the nem except for the purple tips ours has. As ours got healthier it regained its color and is now a beige color with purple tips.
Hope this helps a little, a little more info would be helpful, but a good current picture would probably be the most useful. If you can get more pics, be sure to include not only the top, but under the disk and the foot.
Good luck!