Yes, I have same issue in Pro 2.8.3 When moving a single entity, the anchor snaps to a point, but when I attempt to move multiple features together, the anchor will not snap to a point like first user noted. Snapping is on and layer is projected. However, after looking at comment above, I changed my Map coordinate system to same as feature's coordinate system and it appears to be working. I can't understand this behavior because why would the single move work? Shouldn't this work without having to change my Map coord system? In any case, I am happy it is working now!
singlefeature_move_anchor_showing_snapped
multifeature_move_anchor_showing_unsnapped