Songsheet, "ten runs per offspring, which I would say is pretty acceptable". Allowing for perhaps a wonky debut and even follow-up race, legs to be a bit sore when the ground's hard, etc., that's not a lot of bang for what I imagine you're thinking will be a pretty hefty buck. I'm sure that in the stratosphere of top owners (that usually means the richest), even five runs is acceptable provided the animal's won the Guineas and the Derby, but don't you feel that getting just 10 races in a lifetime's a bit sparse? Or were you just referring to DANSILI?
Even then, STRAWBERRYDAIQUIRI (DANSILI - STRAWBERRY MOON) at age 4 (wins include Group 2 Windsor Forest at Royal Ascot), has had 7 runs so far, and that would leave her with just three before being let go - in her case, absolutely no doubt to the paddocks. But for a boy, like ROSSETTI (out of SNOWDROPS/Gulch) who's still a colt and therefore possibly going to be gelded in spite of 31 from his first two runs, it would be a brief career. If they're vulnerable to their preferred ground (an odd dichotomy), I guess I can see that getting 10 runs could be quite difficult, though, so perhaps that's what you mean - otherwise, horses like THE TATLING look brutally over-raced!