Putting to me is the left arm rhythm of #3 accumulator with a zeroed out right shoulder. An arm motion. I do feel #1 pp of the right hand. I like to putt with my fingers (pressure points) and arms, not hands and shoulders, if that “seems as if” makes sense. I rarely do.
I totally agree with mgjorden in that most of us use a putter that is way too long. At 6'3 I use a 33 inch putter so my left arm can let #3accum swing. I also release the putter face that will slightly (slightly- see Tiger and Els) bend the left wrist the way the left wrist bends into follow through before it re-positions itself at the end of a full swing.
I also have a long pendulum swing- even on short putts using thrust control - ala, Lynn’s example of a fielder throwing the ball from the outfield to various bases, as the means of distance control.
Works well for me, putting is fun.