In my experience, the biggest impact of high prestige is in how soon you see dropdowns. At A+, it's not unusual for me to see guys as D2 who would normally be D1 at a lower prestige. That's right on Cycle 1. By the signing deadline I typically get dropdown messages a cycle or two sooner than I would at lower prestige. That's about the only and biggest advantage i can think of.
My D3 team fell on hard time last season - I held an A+ for 3 seasons, got a Sweet 16 in there, and then hit a couple of scarce recruiting years when the quality of player I was signing was not up to snuff. Last season I suffered the consequences of my own over-enthusiasm and went 16-15. My prestige fell from A+ to B+ in one fell swoop, all because I didn't recruit well.
I griped about getting sniped and about kids not considering me despite my A+. I even pondered quitting out of frustration. But in the end I learned some valuable lessons from my screw-ups and have a much better idea of how to play "recruiting poker" - when to go hard, when to wait, how to keep a cash reserve on hand, etc. I'm not newbie either but I still learn a valuable lesson from every recruiting class if I look at it philosophically. I can improve my abilities by applying those lessons and overcoming the adversity I've incurred for myself.