That doesn't work with my Yue Xiao. My tensions might be a little tighter than yours. But due to the antipop mechanism it doesn't come apart.This one's easy. You can turn the upper layer 45 degrees then take the edge piece and twist and pull at the same time. Watch a cube video and they often take the cube apart. It's the same for all speed cubes.
But... The Yuexiao is the easiest cube to tension when the cube is completely assembled! Just take the center caps off and look at the screw heads. Notice that the rim of the screw head comes exactly to the same height as the rim of the plastic piece that the screw goes down into. (hard to explain. Just look and you'll see. )
Let me know how it goes.