I... do not share this hesitation

though I do always try to be conscious, once I've started talking to them, as to whether they actually seem to want to be talking to me, are just being polite, or really pretty obviously wish I'd just go away. I especially try to be conscious of this if the encounter happens at a place they really might not expect to be approached (there was a time in my life I was travelling a lot, and literally just by chance during that time I ran into a handful of skaters in O'Hare airport in Chicago- that's where I recommend you hang out if you want to run into North American figure skaters

) Anyway though, in those cases I was super conscious of whether, once I said hi, they seemed happy or reluctant that I'd done so. At competitions and especially at meet and greets I think it's a bit different and they have more of an expectation there to 'need' to give at least a little time to fans, but if they seem to want me to go away there I do too. IMO, to be honest, while usually at least superficially polite, skaters are pretty obvious about when they'd rather be doing something else so I don't think you should be scared to approach them as long as you're willing to respect their wishes about how long they want to talk to you. Also (again just in my own experience) little known skaters usually are just delighted to be approached and wished well.
Anyway back to topic, I am also glad that Snow got to talk to Katia. Hopefully we'll all met many more skaters in our lives!