I disagree with the idea that the kind of analysis you are doing is time misspent. But I agree completely that your putt will choose you rather than you will choose it.
Maybe someone can correct me, but I believe putting is essentially two things: 1) recruiting momentum from the lower body, and 2) using the upper body and eyes and brain to release the disc with spin so that it intersects the chains near the pole in the pocket.
How much you rely on your wrist or arm or fingers will develop naturally as you become aware that certain things undeniably feel more natural to you.
For a long time I thought I was doing it all wrong because, after release, my palm was turned upwards much more than in some technique videos I saw (e.g., there's a Ricky and Paige video, and also if you watch Eagle, they do the hand arrow to the pole as a release swing thought). But I was doing this bowler wristy-snap thing (I'm not a bowler). But for me, I felt like I really needed my interior fingers to be that active and forceful, and it led to this kind of bowler-flick motion.
So I deny what felt right and tried to have 'proper technique'. And results were still fine, really. I didn't revolutionize my putting stroke, I made tweaks.
But then later, a homie shared another putting guru who described how the best putters use this bowler-flick action! I went right back to my old style and embraced the flick, and instantly loved the extra ... traction? torque? idk. It feels good for me.
I'm not saying one is right and one is wrong. I'm just saying that the quest for perfect putting technique is really a quest for *you* to make as many putts as you can *right now*. Do play the field in terms of seeing what might work, it will only help develop your touch.
But to get really good at putting, like I hope to be one day (I've cashed the local putting league twice in two outings, but I'm not where I want to be), it's really all about mindful reps. This is one area of the game where work in = results out. Putt your ass off, pay attention to the things you did that allowed you to be the most mentally attuned to the subsequent disc flight, and the results will come.