And oh yeah ... we had a coach who "really wanted" my kid for a variety of reasons back when lessons began. She was very very very helpful; we got lots of time, and pats, and stroking and discussions about wonderful futures and great talent and all that.
That coach is now an ex-coach. Turned out she did this as a pattern, and when parents got disillusioned, they switched to another coach - so she was always on the lookout for the next "innocent" skating parent to latch on.
Like I said, I'm cynical. In this and in every other endeavour (dance, skating, hockey, etc etc etc, art lessons, music lessons) - I see instructors who convince parents that their kid is unique, special and talented. Yeah, my kid IS unique, and thank goodness for it - but, not because of any special talent.
The best music teacher we had for our DD who is - actually - it turns out, many years later, reasonably talented at her instrument, was honest with us that she could see traits that might help her develop into a good player, but, at a young age, so much can change that there is no way that a definitive label of "prodigy" can be attached, and building up expectations at a young age meant a higher likelihood of disappointment later on. Plus, the kid may simply decide that "ick" this isn't for them ... and if you've invested tons of time, money and emotional attachment to a sport or activity, it makes it harder for the kid to be able to move on to something else, KWIM?