Terminology varies with people, so this is my variant of the word punchy.
Punchy: Imagine punches. The bass hits you when it is present in the music, not lingering for too long. It won't overwhelm the mid-range of the music and the general presentation.
When i use the word "feel", I'm using it in the context of overpowering bass. That means that there's a bass boost in the frequency response of the IEM. For the SE215, it has a relatively boost bass response when compared to the GR07 BE. Don't assume that the Bass edition is going to be a bass monster. It is called bass edition because in comparision to the Mark 2 version, it has a slightly elevated bass response.