I don't think that it is a good combination of security purpose. Gamblers will find it annoying if that will work at the same time.
And I don't think bitdice will have that light security with those login protection as the devs know hackers will penetrate from behind not in front-end.
Security is not going to be convenience for sure however it will almost guarantee your safety so either you like it or not it is for your own good just like a medicine. If someone has the ability to penetrate tight security probably it is almost impossible for him to penetrate a gambling site as there are far other exchange sites that store more users funds.