Ever since google maps came out, the standard for web maps has been in their “flawed” web Mercator projection. I am trying to figure out why this projection is not good from a geospatial analysis perspective. Here is what I am trying to understand:

Say I create a buffer around a point that is 1 mile wide. This calculation was done in ArcGIS using WGS84 as my coordinate system. So, I will have a lat/long for all of the points around my single point within a mile. If I then want to show this on a google map, it must be projected into web mercator, which uses meters as a coordinate system. If I trace this reprojected 1 mile buffer, how closely will it resemble my buffer that used a projection using lat/long instead of meters? Will it run over all of the same houses/trees/etc if I am looking at the imagery basemap?

Or, if I have “google coordinate system/projection” on Arcmap and perform my buffer process on this, will it be less accurate than if I had done it on WGS84? Does reprojecting between the two result in a noticeable difference? Can analysis be done in a meter coordinate system?

Sorry if my questions are a bit vague. I just want to figure out what types of problems I may incur performing analysis and having the results on a google map. Thanks a lot!