I don't know if I've had that exact algae before, but IME, flourish excel does help. In fact, I ran out of it a few weeks ago I couldn't find any more (none of the stores had any in at the time and I had to order it online). I just got my new bottle today, and the hair algae is already starting to grow on the plants again.
Just to be clear, my tank is high light but low tech. Plants are 95% stem plants, with 3 small swords. The algae grows pretty slowly, but over time covers the plants and kills them. When I use excel + root tabs the algae does not overgrow the plants anymore, but is still present in small amounts and on the glass at times.
If your tank is like mine, you would need flourish excel long term to keep the plants outgrowing the hair algae. But since you had it in balance before, maybe it won't be an issue for you.
Good luck either way.
P.S. I didn't kill the hair algae, I had to remove it by hand, I just kept it from growing back too fast.