@ChrisMyers_NewQuest Thank you for reaching out on this issue. I am able to reproduce the behavior you described when working with web maps and we will work on looking into this issue further.
In the meantime, as a workaround you can consider using layers from your project instead of a web map. For example, use the Import file workflow to load your data, then apply the Color & Size symbology and Save the layer to your project. When configuring the map panel in your infographic, use this layer from your project instead of a web map.
Feel free to let me know if you need more details on this workflow and I can provide the steps.