That's also wrong. What actually happened is that a database of password hashes was _copied_ not stolen. So yes your password wasn't stolen.
The problem is a security/privacy problem. If someone made a copy of your house keys, that's a problem, because now they can enter your house. But they didn't steal your keys, they copied them. Same with the password. They didn't steal your password, but they have a copy, so they can use it to log into your accounts.
Identity "theft" is also one of those confusing terms. We already have a word for it: impersonation.
Though in fact sometimes things can be stolen via identity theft; in particular if someone abuses your credit it can deny you future credit, so they have stolen the good-will or trust of creditors in that case. This would be an example of an intangible good being stolen.
That's also wrong. What actually happened is that a database of password hashes was _copied_ not stolen. So yes your password wasn't stolen.
The problem is a security/privacy problem. If someone made a copy of your house keys, that's a problem, because now they can enter your house. But they didn't steal your keys, they copied them. Same with the password. They didn't steal your password, but they have a copy, so they can use it to log into your accounts.