That's a short term business model if I have ever seen one.
"customers who stick around." is anthesis to mid- to long-term customer loyalty when you do "jack up prices, and milk remaining users for as much cash as possible"
You're thinking too narrowly. Buying a cow is a short term investment because cows don't live very long.
And yet dairy farms can last for centuries.
Think of it as a perpetual bond with declining coupon payments.
Customer "inertia" or "lock-in" might be better terms to describe what the company is looking for in an acquisition.
Their ideal customer may well be someone who's forgotten they have a subscription on credit card auto-pay.