> Will I let them go down the Path?
A serious training regime in any enjoyable skill between 5 and 20 can be a very rewarding thing once you reach adulthood. If you're not an elite musician, you can still be in a very popular local band or ensemble and play festivals and gatherings. If you're a varsity high school athlete you can play at a high level in clubs through adulthood and maybe teach on the side.
I think Talented children should be shown the path, and if they have the natural drive and competitiveness then you can meet them at that level and encourage it.
The mandolin player in my band is a talented mandolinist, singer, pianist, and guitarist. He told me once that his parents made him practice 3 hours of classical piano every day for many years and he absolutely hated it. I asked him if he wished he hadn't been made to do that, and he said no, he wouldn't voluntarily give up the musical advantages that training conferred on him. He's perfectly happy as a 21 year old CS student that plays in a band.