I think some of you confusing few things:
1. eagle from the normal game play - yes, those are rare but not that rare...i think i had 25+ of them
2. making eagle on closest to the pin - yes, rare but also setup position, after many tries, one can make it
3. real hole in one - on a part 3, those are very rare. i think tibbets has 100+ combined hole in one's but only 4 from tee's on par 3's
I think difference is quite fast. I have some unusual eagle saves in my profile...some from as far as 197 yards, or 30/40 sand..or with 17-18mph winds...
enjoy
cheers :)