Algae is plant, a small amount is both normal and healthy.
It's just becomes an issue when it gets out of hand. You can't see the fish, it smothers your plants, clogs your filter and generally just looks ugly.
Getting the tank in balance so it's not out of control, then letting algae eating critters and the trusty algae cleaning pad keep the tank tidy is the way to go.
I look at it like having grass in the back yard. If you do nothing it gets out of hand and the weeds take over. If you use a lawnmower, or even a sheep, you can keep it under control and it looks fine. Using chemical death to kill the grass seems to solve the problem, but who want's to live in a toxic chemical wasteland?
Ian