This is already almost the case (albeit qualitative)
Try to register an account with some websites using a Twilio number, and it will get blocked / stopped. Try the same with a Google Voice / Skype number and you might be OK. You'll also see challenges with land lines vs mobile numbers.
What I have seen is some airlines unable to text my GV number, because they are working with an SMS provider that is only integrated with the major US wireless carriers and cannot send outside of those (Verizon, ATT, Sprint, T-Mobile).
Try to register an account with some websites using a Twilio number, and it will get blocked / stopped. Try the same with a Google Voice / Skype number and you might be OK. You'll also see challenges with land lines vs mobile numbers.