Interesting video Brandon. But I think it has some flaws.
My opinions come from pure anedotal, personal experience. Firstly, I have felled many trees -zone 4,5,6, if that matters, and can tell you that I have been soaked- boots and pants, from water/sap gushing up, by the gallons, while in the process of cutting through the trunks of many poplars and willows, and to a lesser degree, maple- red , silver and sugar, elm... The point is, the water/sap was being pushed out from the roots, not sucked up, as evidenced by the water/sap pouring from the cut stump . Definitley a pressurized system of some description.
Secondly , if there are no 'valves' in the tree system why doesn't the sap/water release from the top portion of the cut tree? There's 10's, 100's, sometimes 1000's of gallons in the above cut portion of the tree.
Food for thought....biology not my forte.

You are not incorrect in saying a stump can bleed. There is a term for liquid being pushed up a tree's conductive tissue and it's root pressure. However, it's not great enough to push fluid independently more than two or three meters. The transpiration in the leaves lifts the fluid the rest of the way and is the primary mechanism for lifting it to the canopy.

Here is a link that might be useful: scientific american article on how water is lifted to leaves

Very dynamic systems these wonderous trees are.

Thank you for the video, Brandon. Very interesting! If you come across any other interesting/informative videos, please post them.