I wish that "Electricity" could be explained so easily.
Electricity is a word applied to many different effects. Sometimes the term electricity is applied to "Potential", like the static electricity that causes lightning. Sometimes the term electricity is applied to "Movement", like the beam of electrons used to make a picture in an old-fashioned TV picture tube. Sometimes electricity is applied to "Electromagnetic Force", like the electricity used to run a fan motor. Sometimes electricity is applied to "Power", like the electrical power coming out of a hydroelectric generator.
None of these definitions are really wrong. It's just that the term "Electricity" was in use well before the discovery that atoms aren't the smallest particle. In other words, the term "Electricity" was used before the electron was discovered to be only a part of an atom.
You're right, though, one use of the word "electricity" is the power of either AC or DC at various voltages and amperages, but we live in a world where other people have their own legitimate views of what electricity is, or what it does.