Fans don't want a lottery, though. They want to be 100% sure they have a ticket to the show. It's a gratification thing.
Not everything can be 100% optimal and profit maximized. The current ticket sales method works great, if you eliminate the rent-seeking scalpers, through simple regulation.
However, ideally we should also consider it shameful to buy from scalpers. You run a high risk being scammed, they can resell the same ticket multiple times, and you have no recourse.
Your original response was that there wasn't a similarity between unpaid internships and concert ticket sales. And now your response is that more optimal systems are less desirable, which is a fine answer. But it's certainly a choice to choose the less-optimal system, with the understanding that that choice is going to lock out some people due to resource constraints. And the current method rewards time-rich people in a very similar way as unpaid internships. They receive access to experiences that others can't "afford".
Not everything can be 100% optimal and profit maximized. The current ticket sales method works great, if you eliminate the rent-seeking scalpers, through simple regulation.
However, ideally we should also consider it shameful to buy from scalpers. You run a high risk being scammed, they can resell the same ticket multiple times, and you have no recourse.