Hello @ceend ,
In order to successfully project detail from one mesh to another the meshes must occupy the same space, or very close to it. You cannot drastically alter the form of a mesh and project detail from the previous form of the mesh. That means Freeze Subdivision Levels will not work in this situation.
Remember you can always pose a mesh at the lowest level of subdivision and the changes will update the highest levels of subdivision. If you have multiple subtools and simply want to pose the mesh while keeping the high res detail then I might recommend Transpose Master. However this is not compatible with many of the Gizmo Deformers as they change the point order and this will break the TPose mesh. The mesh would need to be posed with other features. If you’re determined to use the Gizmo Defomers, the point order issue is going to limit a number of options you might have had.
Otherwise in this scenario you would delete your lower subdivision levels, deform the mesh as desired with the deformers, then create a duplicate of the mesh and retopologize it with ZRemesher or other method to create new base level topology. Then subdivide the duplicate sufficiently to hold the incoming detail, and project the high res detail from the original mesh onto the new one using the manual process described here. This will create a new multi-resolution mesh in the new pose.
Good luck!