Vadim -- I have been trying a few things out of the ordinary myself. I tried the feet toward the hole like Sam Snead did toward the end of his career. I actually started putting more consistant with this "side saddle" stance. I felt like I could focus better on the target, then the ball and roll it without looping the putter head. Just a straight back, straight through motion. Good luck with your new experiment.
My brother does this all the time, and he gets very wristy through the stroke. I haven't tried it, but he has gotten used to it and has gotten better at putting.