Compression comes in many forms- sometimes, it only limits peaks and I suspect that Dynamic Volume does that. Otherwise, it can also make quiet passages a bit louder, so they aren't masked by room noise, ringing ears, etc. This can be frequency-specific, too and Dynamic Bass is that kind of compression.
In pro audio, there are even more types- hard knee is one, but it's used as a recording/live sound tool and would have no place for music reproduction.
dbx is a compression/expansion system and if it's not set correctly, it was possible to hear it become louder and softer without any relationship to the sounds- that was called 'pumping'..