Do you feel comfortable logging on to, say, your online bank and brokerage accounts, using a hotel's internet service? Does the answer change if it's a wired connection through an ethernet cable vs a generic wifi/wireless "unsecured network"?

In each case Windows gives a warning like "some information may be visible to others on the network", but does the https sufficiently encrypt it? I mean, if someone got hold of one's online banking password, it would be a pretty major hassle for one to sort out!