OK I am a newbie to woodturning. When I was a kid I spent much of my time in the shop. My dad used a wood lathe, however, most of the time it was the metal lathe.
He worked to keep all tools, arms, levers, etc. as short as possible because it takes darn little to set up virtually un-noticeable vibration that will cause nasty things to happen. The cutting part of the tool may be fairly near the tool rest. However, it looks to me that the other part if way too far away. It is also not a straight line (another vibration maker).
It looks like there is a good, short, solid set-up from the tool rest to the cutting tip. However, I think the tool rest is just acting as a fulcrum to transmit vibration from the other side to the cutting tip.
I also notice that the bowl is attached further away from the headstock than I would expect...again introducing a slight instability.
Now that you have read all of this stuff from someone who has never done it, you can go have a nice cup of coffee and laugh like the dickens.
First of all you have to be smarter than the machine.