It would be helpful if the ArcGIS Pro symbols downloaded from online could more easily be accessed across projects or set as the default style list for all new projects for a given user profile.
This has been marked by Kory Kramer as a duplicate of Pro: Importing Styles should be permanent Please visit that idea to vote and add comments.
For example, searching for "Dog" in ArcMap will return icons from the Forestry style group that are relevant to anyone mapping a dog park. In ArcGIS Pro, the same search returns nothing. To use the "Dog Area" style in Pro , I have to 1) open ArcMap, 2) add a point layer to Map, 3) search for the "Dog" symbol for that point, 4) identify the style set containing Dog Area, 5) Open the Catalog in Pro, 6) browse to Portal --> All Portal, 7) search for .stylx, 8) right-click Forestry-->Add Style and decide whether to upgrade the style or not, 9) go back to my symbol selection in the Pro map (remembering to search "All Styles")