you want to solve the problem of airline tickets, let people resell their tickets to other travellers.
Hotels operate in a similar fashion as well.
In the airline model, your ticket is tied to your identity. If you don't want to use it, you get a refund instead of selling it.
You can also choose a ticketing agent instead of being forced to use just a single outlet.
In the concert model, you (or a complex entity) buys as many tickets as you can get your hands on from the only seller, and if you don't plan on using the tickets sell them for multiples of what you paid via a shady network of reselling.
https://en.wikipedia.org/wiki/Global_distribution_system
Why not this but for concert seats?
There isn't a lot of obvious utility in allowing anyone in the world to buy a concert ticket (unless you want speculative resellers in your ecosystem). For people travelling to an event, that's what the will-call window is for, and it requires a matching ID. Whereas airlines cannot reasonably maintain a network capable of selling a ticket to anyone worldwide despite their being a very good set of reasons for that to happen.
This probably also explains why airlines allow independent agents, but no reselling. The original market (pre-internet) required it, but the airlines didn't really want to sacrifice their margin to speculative resellers (scalpers).
Concerts used to be sold in a centralized way (you could buy tickets to a specific show at one of a few authorized venues, in person). This worked fine before the internet, since it meant that fans stood on equal footing with speculative resellers. If I want to scalp tickets, I have to go stand in the rain with the fans, and I can't buy 50 tickets since the sellers won't sell more than a few at a time.
Contextualized with how the different industries were created, we can see why GDS made sense at one point, but doesn't really anymore, and why it would never make sense for event ticketing.
There's like 50+ lines at an event, if TSA had 50+ lines then the airport would be so much faster.