Volume is also key to know, for context. It can kinda be a deal-breaker actually, especially when drilling similar movement patterns in a session like the snatch, clean, high pull, and rack pull. But that's a nice arrangement of mechanical advantage work, I'm actually doing something similar with the old school "power look" work - power cleans for triples, high pulls for triples, deadlifts for triples, ending with deadlift singles.
Any reason there's little actual lower body work in general? Lots of pulling in that first workout, and sprints in the second, but some front squats would be a useful addition (unless you're doing the full clean and jerk, which I guess would "technically" cover it).
Like I said though, you don't need a ton of rotation stuff especially if you're boxing so frequently. I'd probably pick one "core" exercise and superset it with your last lift of the day in each session. For example, Pallof iso-holds with the rack pulls and one-arm planks or unsupported 1-arm rows with the benching wouldn't be a bad start.
FWIW, if your "jerk" is just a push press with extra leg drive, you might think about doing a "proper" jerk instead. With the second dip underneath to catch the bar, and basically finishing each rep with a quarter-rep overhead squat, you'd automatically add some big core work.
Anti-rotation is along the lines of anti-flexion, basically training the body/core to resist motion. Definitely teaches tightness and a certain kind of "strength endurance" that the core musculature seems to respond well to. Mike Robertson breaks it down more here: https://www.t-nation.com/training/21st-century-core-training
I believe the overhead press works "better" than the 1-arm bench, simply because there's less outside support. 1-arm rows work well if you don't brace the free hand on anything during the reps. 1-arm cleans and/or "front" squats are another good way to train stabilization. Get-ups or half get-ups are killer too.
I actually prefer them with cables because you can go relatively heavy on them. Like, around half-bodyweight for a 5-count, then switch sides. 3-5 sets per side.