(writing all of the below with reference to a right handed shooter, reverse for lefties)
The thumb draw is almost mechanically clean, so shooting on the left side of the bow is perfectly possible, you just have to account for the fact that conventional archer's paradox rules do not apply. The arrow will fly to its brace height direction rather than where it points at full draw. As in, the paradox does not occur at all. The arrow still bends, but it does not actually vibrate.
Slow motion:
https://www.youtube.com/watch?v=Lenfq9pcApY
So having a center shot bow (as Joel uses) really, really helps. The people in Mongolia who shoot on the left side of the bow have to aim to the right to compensate for their arrows not flying to the full draw position. Some actually draw lines on their knuckles to help them aim.
As for spine, that's a complicated question. Shooting thumb-on-left, spine doesn't matter as much because, as stated above, the arrows do not vibrate, so the arrows just have to be fairly stiff, but not to a precise, exact dynamic spine. If they are too weak, they can start to fly sideways, which is what happens with a fingers draw on the right side of the bow. Which makes sense, since the deflection of the Med draw is HUGE compared to the thumb draw. Using incredibly, unreasonably weak arrows for thumb-on-left produces a similar effect.
For conventional thumb release shooting (right side of the bow), center shot modern risers are very forgiving. Nothing difficult about how Joel does it.
But with wide-handled trad bows, spine can matter but not in the same ways as for fingers shooting. Getting the timing of the arrow's bending just right to clear the handle cleanly can be difficult (though by no means impossible) since the initial deflection off the thumb is so small. If one has trouble with this, the usual approach is to get arrows that are rather stiff, and slightly torque the handle counterclockwise to help steer them to where you want them to go. In other words, manual paradox, not automated paradox. A dynamic center shot system, as opposed to a static center shot. The spinning of the bow in the hand with kyudo is a very exaggerated example of this.
Further watching:
https://www.youtube.com/watch?v=dTZkrmM5hx4