When I play doubles with a friend of mine, we always do Australian, I, traditional. He's a very consistent server so we mix it up. After his first service game, usually the other team is utterly confused and more tentative on the return. But on my serve we line up traditional about 90% of the time, because my serve just doesn't have enough consistency and my seconds still don't have enough juice on them, so we have to rely on my ground game more to win the cross-court exchange and set up the easy put-away volley.
Of course you can't pull it off with inconsistent serve or slow serving in the middle of the box.
If that serve you lobbed over the net player had come with any real speed, you probably wouldn't have been able to lob it with ease, and their strategy might have worked.
My 2 cents.