Is this a common risk? Most subscriptions I can think of are prepaid —- they charge you when service starts. If your card expires or is cancelled, they shut down your account once the paid subscription runs out.
A notable exception is US cell phone plans. I think most people still have postpaid plans and of course the carrier will send you to collections if you don’t pay.
That’s why you have to agree to a credit check, though. I’ve never been subject to a credit check to sign up for a software or streaming service.