It absolutely can't be a price of first class ticket (10-20k$). Let's take for example Elon's completely fantasy figure of eventual 2 mil dollars per launch. That's 20k$ per seat, so it looks like comparison checks out? Well no.
First you need to include price of the floating megaports at each destination in the world. The cost of a single such human rated platform divided by a number of physical rockets using it per year will be many orders of magnitude higher than a price of airport divided by the number of planes serviced per yer.
Second you will need a lot of highly expensive maintenance crew members at each location (more expensive per person than airplane maintenance crews). Plus much much bigger staff at the dispatcher tower in each location, compared to a handful of aircraft dispatchers in an airport servicing hundreds of planes simultaneously.
Third you will need a private (and thus unprofitable) public transportation lines/ships to each of the rocket starts.
4th - you will need a lot of training facilities for the prospective passengers. And staff for them.
5th - you will need low orbit rated space suits in a variety of the sizes at each location. And maintenance and repair facilities for them. Dragon low orbit suit clock at about 0.5 mil dollars today. 4 suits and that's more that entire fuel cost for the launch :) (theoretical cost, with best outcome). Even is economies of scale will help to lower costs 2-3 times (doubtful) it still doesn't scale to a global E2E operations.
I'm probably missing some other significant costs but you can get the picture. It will never be a first class ticket price because it is impossible.
And that's not even counting other blockers for this idea.