"Hot is simply a measure of how much energy something has." (1:15)

This is slightly inaccurate, right? Two species of gas can have vastly different amounts of kinetic energy, but still have the same temperature. That's what specific heat measures.

I always assumed temperature was strictly translational kinetic energy, and the reason water takes so long to heat up is because the energy it acquires goes into other modes of freedom, such as vibrational or rotational motion (hence its high specific heat).

Can someone back me up or correct me on this?