Wait until you get to TC tier where you'll have to putt on GS13+. It's gonna drive you even more insane! ;-P
Putting on mobile (PCEA) has always been very sensitive and tricky so you've got to be extra prudent and make sure everything's precisely set up. Do not trust dot speed either, they're deceptive! I don't know if you started the game from PC or mobile but unless you played thousands and thousnads of rounds on PC to the point that you practically memorized all dot speed and breaks of every contour & corner of greens (Impossible? Trust me. I know someone who did!), putting was, is and always will be a pain in the butt.
Here is what I do though. I take notes every time I putt since I started playing back in 2016. I've got a list of over 60,000 putt DB (green speed, distance, elevation, power %, aim point, dinged/pulled/pushed). It surely increased my chance of making putts BUT! I still miss lots of them, often enough to believe that it's pretty much pointless to continue writing the DB, and just accept it as a part of the game.
I watched you playing in the video. You aren't bad at all! As others already told you, be more aggressive with the short ones. I think that's the only thing you gotta do. Good luck! :-)