What does presence heavy mean?
Sorry just never heard of it in audio context
It means that the 2-3kHz midrange frequencies typically associated with how "forward" or "present" vocals sound (and I guess certain electric guitar and brass notes too) seem too loud, resulting in an "aggressive," "too much in your face" feeling without sufficient ambient cues, "warmth," or "air" to the sound.
As I noted above, it's something I've subjectively experienced to a degree with pretty much every speaker I've ever owned when I've toed the speakers in fully and turned up the volume a bit. In other words when I've set them up so their drivers are directly pointing at the middle of my head when I'm seated in the listening position. But at the same time, with all these speakers over the years, regardless of how much or how little I liked their sound overall, I found that every single one ceased to be "presence heavy" when I toed them out, usually just by a little bit.
It is interesting to play with, though - in a lot of situations you can subtly but clearly increase or decrease the perceived prominence of the phantom center and/or center-mixed presence frequencies by adjusting the speakers' toe-in by just a few degrees. In fact, in my experience you can get a similar variation without touching the speakers - just try moving your listening chair forward or backward by 6-12 inches. Heck, you might even be able to detect the difference by keeping the speakers and your chair where they are and just temporarily leaning back or forward in your chair more than you usually do.
The fundamental parameters of the sound are all about the speakers and the room - but we humans have evolved to be very sensitive to locational cues of midrange and treble frequencies, and it's kind of shocking (and unsettling I suppose, for hi-fi evaluation purposes) how much subtle variation you can hear just by slightly changing the location of your head relative to the speakers.