Haverford used to have a reputation of NOT admitting those who had had a positive pre-read. I don’t know if that has changed, but you can research some old threads Haverford Pre-Read or check other sources. Haverford would do a pre-read and determine “Yes, this student is qualified to attend.” What they didn’t tell the athlete was that many students got that positive pre-read but only a few would get admitted, and didn’t mean anything other than that the student was in the qualified pool. No thumb on the scale in admissions.
Ask the coach what the support means. Ask if any students who had full coach support didn’t get in. Ask if you need to apply E2 to get the support.