For the life of me I cannot understand all the videos I see of people pushing work through a TS with their right hand and the left hand pushing the cutoff past the blade, sometimes quite close.
I absolutely never, ever, push anything through the TS with my right hand as the push block. Ever. I use push shoes that I make on the cnc router with a nice saw handle that sits way above the stock. My left hand does nothing. The cutoff stops when it is severed, the blade does not reach out and grab it so I see no point in pushing it past the blade. Typically I will push the piece I am cutting past the blade and use the heel of the push show to move the piece clear of the blade. I am very careful about that last, making sure I am well past the blade. I am tall and have long arms so it is easy for me to do. Been doing it this way for about forty years now.
Oh, sheet stock. . . If what I am cutting off is like 18 inches wide or greater, then yes, I will push it thru with my right hand since a push shoe doesn't work real well doing that type of cut.
Another observation: I am fed up with folks who use european style saws stating that a "proper" fence is the one they use. I use a long fence to straighten the edge of boards, just like is done on a jointer. Try that with a European fence. I even have one that is about 8 feet long to work on longer pieces. My rip fence is a UniFence which I can shorten just like a European style fence. I have run it that way and well, it just does not seem all that advantageous to me. Once I discovered I could create a straight edge on a TS just as well, maybe better, than a jointer I sold the jointer.