I've seen a less formal and more homespun method of kite fighting in Malaysia and Bali. A section of the kite's control line(s) is rolled in glue and then in ground glass. This creates a cutting edge that is used to sever the opponent's line and down their kite.

The kids usually play with simpler kites than the Thai sport models: sturdy bamboo frames and brightly-colored lacquered paper, usually in a diamond shape with two control lines for maneuverability.

The kids I've seen are far too young to be thinking about sexual symbolism or whatnot; they're just having fun with aerodynamics, tuning their kites, and trying to take home the other kid's. Kinda like hotrodders racing for pink slips.