Desoldering braid is definitely a must-have. When you need it, you NEED it.
That's probably true. If you do a lot of soldering, you should have some braid.
And I do have some braid. But I've never used it. Never needed it. I do, on the other hand, use my "solder sucker" bulb pretty much every time I solder. It's a very handy device. I would never solder without it.
I might mention, too, that I never have attempted to solder a surface mount device. Probably never will. As noted, I suspect braid would be much better for that.