Asuna does not have supersonic movements. This has been proven false. Look at her fight with Yuuki, look at Kirito's fight with Heathcliff. They never once showed supersonic movement so ok. I could understand their reactions being low hypersonic, but they are not supersonic, not in ANY way, shape or form. Asuna is not a capable strategist, neither is Kirito. She can only plan when she has time, like during a boss raid. However, when dropped into fights cold, she, much like Kirito, attempts to BULLDOZE the adversary without thinking smart, and just attempting to plow through, like Kirito.
Adressing SomebodyStupids comment, Asuna's healing abilities are a non-factor, since she doesn't have time for them in a pitched battle.
Also, what "dodging is better than attacking" mindset?! I've never seen anybody in SAO use evasion tactics effectively, Kirito failed to dodge when Heathcliff was going to kill him and Asuna stepped in, Kirito failed to dodge Death Gun for most of the fight, Asuna failed to evade most of Yuuki's attacks, Asuna and Kirito failed to dodge the Fatal Scythes attacks, Asuna failed to dodge a face-punch from Gleam Eyes, etc. Weiss isn't much better, but at least she's dodged SOME attacks throughout RWBY.
Both combatants have magic, but only Weiss can or has used it effectively in single combat. Name one 1v1 duel in which magic was used in SAO. It's only viable when you have guys protecting you. By contrast, Weiss has repeatedly used her Glyphs effectively in combat, so the magic edge very clearly goes to weiss.