The stochastic lattice is based on a Voronoi fracture algorithm, which can take a long time, especially in large objects, in objects with complex geometry or in non-manifold geometry.

The TPMS parametric equations don't relate directly to a regular thickness. This is something I'm working on coming up with an optimised solution for. Right now it's best to double check the thickness in blender.

The node group is designed around SDFs (signed distance fields) and so relies on Blenders ability to handle volumes. See if the voxel setting is too small.

This maybe because the Boundary Offset Percentage might be too low. There needs to be a slight buffer area around the object in order to avoid these problems.

By default the node group is set to just show the original mesh. This is because the default voxel mesh size may not be appropriate for your model. Having the node group automatically run in such a situation could cause Blender to crash. If Mesh + Hollow is selected then the hollow will be within the original mesh and not visible.

Check whether your models face normals are the correct orientation. The nodegroup may think that the outside is the inside.

This can happen when there are holes in the mesh or other non-manifold geometry. Switch to the complex solver option and increase the iterations setting. You can also adjust the threshold settings to help remove extra geometry. If these don't help you will need to take steps to fix issues with the mesh.

You will need to add additional holes to the mesh in order to allow for powder or resin to drain out. Look for any best practice guides for your 3d printer or 3d printing service.