Of late we could see Phone Verification method is used in account registration forms so as to prove one is not a robot (e.g., Google signup form). So how popular is it's adoption rate? And how much it has increased the user's confidence to submit their own number.
1 Answer
Phone verification should not be used to prove that you are not a robot, but to prove that you are you, and to ensure that would be hackers need more than just a user name / password to get in.
Phone verification just to prove that I am not a robot would be a huge deterrent for me to even register at a site. As it would for sites that hold information me that I do not consider "sensitive".
Also note that that the two-step verification process for Google accounts is an optional extra security measure.