Table tennis professionals are supported by sponsors, (clothing, eguipment etc.) Very few events are televised, they get preserved on tape for viewing later. Spectators are not charged any admission. There are no "broadcasting rights". Some of the comparisons you make don't hold water. Your talking of team sports, not individual sports, as running, swimming, table tennis, etc.
Spectators and fans are not what support these endevers. It is well organized events that have survived because of good management and support of the players.
I played many years of table tennis tournaments at the 2000 rating level. Began at 1200 just as in chess. Went to several National Championships and was lucky enough to win a few. How much money did I win ? $0.00. Alot of prestige and trophies, great memories and new friends. The pros would make small cash payouts, but they we all had sponsors. World wide table tennis is often said to be the most popular sport in the world (Chinese players and is huge in Europe) without paying amatures a penny, while sustaining 1000's of professionals . Food for thought.
For $100 I could enter 4 different sections and a doubles event. Winners took home trophies and pics in magazines. Nearly 1000 players and that's quite enough money to put on a great event and payout a few dozen top prizes.
Think about the difference between chess and most sports. In most sports, spectators and fans fund most of the sport, whether in the form of live events, TV broadcast revenues, pay-per-view, merchandise, etc. This is how it is possible, in a sport like table tennis, that professionals can earn a living while amateurs make close to nothing. Chess is COMPLETELY different. In chess, there are hardly any sponsors, it is not on TV at all, and there is almost no such thing as spectators paying to watch live chess events. In chess, it is mostly the *class players* who fund the sport/game and help the professionals make a living (through paying entry fees at tournaments, getting coaching, etc.). But you and others think it's unfair or inappropriate for class players to earn any significant prizes playing chess. Hmm... Some food for thought.