Never found the "strength" of the HS program to mean much, at least in the SoCal area, except for the "strength" that may come from the coach having a few contacts and perhaps, more importantly, being there to take their own free time to answer calls and questionnaires, etc. which my son's coaches did for him and for which we are most grateful.
In terms of won/lost type strength, his program was middle of the road at best. Besides, if there is an issue here, I think the strength of who you are playing may be more important than the strength of who you play for.
at the bottom line, college coaches are "working" during the same time as the HS season and so they RARELY get out to see local HS games in my experience. My son and his peers were seen at various camps, showcases, etc. Where they went to HS, HS stats, honors, etc. seemed to mean very, very little.