I can't say I would have screamed. I would have been disappointed because I don't normally travel with a cup that has a lid - as I tend to try to catch stuff, too.
I'm not sure if I would have recognized it, though I do know what they look like but there's that part of your brain that say "nah, can't be this is ____".
They think the spider was misidentified now, that it was only a Huntsman spider. There's some controversy surrounding the incident. Apparently the spider was killed and the body destroyed before others could examine it... Which is fishy because that is not protocol, they're supposed to keep the spider alive.
This did happen before though, in a Stillwater grocery store.Tulsa World article