Actually, I was surprised to see yesterday that Google offered this as well, when I set my bank account as a payment method for my Google apps account.
After a bit of consideration I went ahead and did it—I consider Google trustworthy as far as security practices, and to be honest, I didn't expect it to work. Chase forces (!) two step authentication despite my very strong password, and I thought that would prevent Google from logging in.
To my surprise, the process appears to have worked fine—my bank account was verified. I also didn't get a "new sign in from" email from Chase. So I wonder if they actually logged in or did something else...
After a bit of consideration I went ahead and did it—I consider Google trustworthy as far as security practices, and to be honest, I didn't expect it to work. Chase forces (!) two step authentication despite my very strong password, and I thought that would prevent Google from logging in.
To my surprise, the process appears to have worked fine—my bank account was verified. I also didn't get a "new sign in from" email from Chase. So I wonder if they actually logged in or did something else...