### Godot version

v4.2.beta1.official [b1371806a]

### System information

Ubuntu 22.04.3 LTS 22.04 - X11 - GLES3 (Compatibility) - AMD Radeon RX 560 Series (polaris11, LLVM 15.0.7, DRM 3.42, 5.15.0-88-generic) () - AMD Ryzen 3 1200 Quad-Core Processor (4 Threads)

### Issue description

![image](https://github.com/godotengine/godot/assets/1330325/7a986599-5a68-42a4-beb1-5d3b4bf7db6b)
![image](https://github.com/godotengine/godot/assets/1330325/e8b8546b-b47b-4add-9567-7f70709ab03c)

Culling 3D goes bellow 60 fps even with just about 50 simple animated models. With v4.2.dev6.official [57a6813bb] many more models can be spawned without fps drop. However, both versions do show high cpu usage for culling 3D. Without animations there's barely any usage.

### Steps to reproduce

Spawn models with animation with the Compatibility renderer.

### Minimal reproduction project

[CullMRP.zip](https://github.com/godotengine/godot/files/13400514/CullMRP.zip)

#ifdef GLES3_ENABLED
#include "mesh_storage.h"
#include "material_storage.h"
#include "utilities.h"
using namespace GLES3;
MeshStorage *MeshStorage::singleton = nullptr;
MeshStorage *MeshStorage::get_singleton() {
	return singleton;
}
MeshStorage::MeshStorage() {
	singleton = this;
	{
		skeleton_shader.shader.initialize();
		skeleton_shader.shader_version = skeleton_shader.shader.version_create();
	}
}
MeshStorage::~MeshStorage() {
	singleton = nullptr;
	skeleton_shader.shader.version_free(skeleton_shader.shader_version);
}
RID MeshStorage::mesh_allocate() {
	return mesh_owner.allocate_rid();
}
void MeshStorage::mesh_initialize(RID p_rid) {
	mesh_owner.initialize_rid(p_rid, Mesh());
}
void MeshStorage::mesh_free(RID p_rid) {