In short, I don't believe ArcGIS Pro has made it available through any immediate checkbox that you can turn on or off. It may be a combination of factors that may improve your experience (RAM, graphics etc...) in the meanwhile as the current solution I could recommend. It may or may not help, but something to be aware of to perhaps lessen the current frustration.
Also, as part of my response, I included converted the MP4 of your animated gif that I came across while searching for possible solutions selection hartbeat animation.mp4.
To provide some anecdotal answer and my experience I've searched other outlets and even tested out my own machine while editing, selecting etc... and experienced a similar thing while editing but not selecting on the machine I'm working on, 8gb RAM, with DirectX rendering selected by ArcGIS Pro based on my graphics card.
You may want to look into the Set display options
- Antialiasing mode
- Text antialiasing mode
- Stereoscopic mode
- Rendering quality
- Rendering engine
- Vertical synchronization
- Hardware antialiasing
- Local cache
In addition, consider this as well GPU resources
In ArcGIS Pro, the graphics engine limits drawing based on the abilities of your graphics processing unit (GPU). Sometimes, if these limits are exceeded, a scene will draw incompletely. You may also notice degraded drawing performance, such as low frame rates or "stuttering" of the view, when the current view is consuming resources close to the limit. If you exceed the GPU resources, you will see a warning message that states, "GPU resources exceeded. Consider closing some views or modifying layer settings to reduce the amount of data being displayed."
To restore full drawing of the map, or to restore your drawing performance, you can modify the scene to reduce the load on your GPU
Reduce the load on the GPU
You can try the actions listed here to reduce the load on the GPU and restore your drawing performance.
You can lower the Rendering quality setting on the Display Options dialog box.
Lowering this setting reduces the detail of elevation and reduces the resolution of textures in multipatch features to lower the demands on the GPU.
You can reduce the distance visibility limit for one or more layers in your scene. You can do this on the General tab of the Layer Properties dialog box.
Change the Out Beyond parameter to a shorter distance.
If your geometry is dense, even when the distance visibility is limited, you can reduce the density of geometries displayed in your scene.
If your geometries are multipatches or you're using a multipatch as a marker symbol, use tools to simplify the geometries. The 3D Workshop Feature Extraction Tools are beta tools to repair and simplify multipatch geometries.
The Local Government Scenes solution has generalization tools, the LOD2 and LOD3 building tools, for multipatch geometries.
If you're using traditional GIS geometries, such as points, lines, and polygons, use tools in the Generalization toolset to reduce the density of geometry that is present in your features.