A click is the moment somebody stops reading and goes somewhere. On an artist's pages it is the only action there is: everything else on the page is there to make one of them happen.
Why it is counted separately from a view
A view says the link that was shared works. A click says the page works. A page with a thousand views and no clicks is a page that answered nothing, and no amount of traffic fixes it.
Do not make the link go through a counter
The old way to count a click is to send the visitor through a counting address that then forwards them. It costs a redirect, it breaks when the counter is down, and the address in a post is the counter's rather than the thing's. Counting alongside the link instead leaves the link exactly what it says it is.
What a click is not
It is not a listen, a sale or a ticket. It is a measure of which of the things offered was the interesting one, which is the question a page can actually answer.