The reason you might see loading happening under render, is that an asset is referenced for the first time, and is getting loaded because of this de-reference. This is mainly happening for shaders. In Player settings, there is an option to preload shaders, and there is also an option to specify other assets that should be preploaded.
On devices we don’t report the object names, as they get recorded by instance ID (and these are not matching in the editor). We have on the roadmap to find a solution for this.