Car appreciation... the aesthetics, the engineering, etc

I guess for a certain percentage of 'not at fault' incidents, it was still avoidable if the not at fault party had been a 'safer'/more cautious/better driver? Therefore it's indicative of being at greater risk of causing a incident in the future...

Absolutely. Insurance companies do consider being part of a no-fault accident to be a risk factor and it will affect your premiums for future years.