This is false.
"Mobile" numbers - numbers that are classified as belonging to an actual mobile carrier - are indeed different than non-mobile numbers.
For instance, you cannot send SMS from a short-code to a non-mobile number. Which means, your twilio number (which is not a mobile number) cannot receive 2FA (or any other SMS) from the 5-digit "short code" numbers that gmail (and most banks, etc.) use for new account verification, etc.
Non mobile numbers are, in many ways, second class citizens in the mobile-operator ecosystem.