In anime tropes, she probably fit the "bookworm girl" archetype.
Glances over at Rozemyne ...Different type of bookworm, I guess? Honestly, she's closer in personality to Angelica. Just focused on VR instead of combat.
Ai: "You worry about what people will think of you, don't you?"
Megumi: "Ai, how can you talk so easily?"
Ai: "By not worrying about anything!"
A wired connection would be much faster,
Uh, maybe? Or 'it depends', if you prefer. Cable connections are almost always more reliable, but faster is more of a tossup. If you go on Amazon and buy 'some ethernet hardware', chances are you'll end up with a 1gbps network. If you do the same with wifi, you'd probably get 1.5-2gbps.
Of course, the cable is far more likely to actually hit the number advertised - with most wifi equipment, you need the router in your lap to get anywhere close to the headline number.
And for most of us, it's pretty easy to get either option to a speed higher than that of our actual internet connection. At which point it mostly stops mattering which one we use.
Anyway, for what they're actually doing, they probably care more about latency (the delay between data being sent and arriving at its destination) than actual speed (how much data gets sent in a set period of time). And cables generally are better for latency than wifi is.
I always had a hard time determining whether Ai was being serious or silly.
Because she doesn't see it as an 'or'.