Yes, Jesse, just like you are stringing it push pull style. This also lets you know if the limbs are getting unstable. If they are, you have a firm grip to make sure it doesn't twist too much. It's why I either string my bows this way, or with a stringer. I'm not a fan of step through methods since I have seen limbs twisted, and overloaded.
You needed more belly wood removed, and after this if it still feels unstable check the limb taper to make sure it keeps tapering and there are no straight sections, and the same applies with limb thickness it has to be a gradual smooth taper. The other check I do is to make sure no limb section is getting closer to square than others, and on these longer bows like yours there is more room for this to happen especially where the limbs reflex on the outer limbs.
Part of why I floor tiller these is to feel how the limbs are responding, and when you look down the limbs like this every flaw in the tiller is visually magnified, and its easier to stop before overstraining the limb and fix it because in your hands you can feel if its starting to stack, and also see this. As they say "tiller is everything", and on these bows its "Really everything" because it is more critical. It's like the car analogy, now you are working on a lamborghini
Rich