Using that case study, getting $21k in revenue for $80k in expense makes zero sense ever. That doesn’t even count the actual startup cost to build the platform or even get the “talent” to deliver the lessons — which is an expense not to be ignored. So the real $80k is probably much higher because for a marketplace to exist, you have to attract buyers and sellers. And a 30% commission means that music teachers would have to sell at 30% more than they would for their own off-marketplace customers. And, unlike app sales, 1-1 music lessons don’t scale, so that 30% is a real hit because they can’t really make it up in volume: 1 hour can only yield, 1 hour of lesson for one person. I know this problem well: I founded a therapy marketplace that has been surviving for 10 years now, but it took 8 years to actually become profitable and still, just barely.
Real world music lessons scale better, with many beginner classes at Guitar Center (or private centers/homes) scaling to 5ish students per teacher.
It's not as high quality as 1 on 1 instruction, but the benefits of scale cannot be understated. Offer lessons at 1/3 price but make double the revenue.
In that case it's the regional "Guitar Center" or "Yamaha Music School" or whatever that provides (i) a marketplace that also lends credibility to the instruction and (ii) scaling via group lessons and as a result take a cut from the pie.