Audio power amplifiers
Short answer: Yes, a voltage-controlled voltage source.
The most-expected load is a low-impedance dynamic speaker in the 2-ohm to 16-ohm ballpark. An amplifier having a very low Thevenin equivalent output resistance is helpful to provide good damping. An ideal voltage source fits that profile.

A voltage-controlled voltage source might be specified as having a voltage gain, but you do not often see a spec like this for an audio amplifier. Of more interest is how many watts can be delivered to a load resistance before distortion sets in. The typical distortion type will be clipping of top peak and bottom peak of a sine wave.

The input side of an amplifier might have 10k - 100k input resistance: a voltage across this resistance is amplified and reproduced at the output. So a little current does flow from the driving source.Many audio amplifiers are AC-coupled, so that voltage gain does not extend to DC. Some audio amplifiers have DC-coupled output stages.