Geo content and where Googlebot crawls from.

[Shawn_Huber]

Does anyone have experience with geo-specific content on their homepage and how the location of the Googlebot impacts rank and/or traffic?

I ask because looking in Search Console today, I noticed the thumbnail image of our site is different than usual and it was pulling in a specific geo-location and wondered if there is any value/concern on how Google sees our site from different locations and if it could impact SERP's.

[Ikusa]

Google is location-agnostic, though will act like it cares about location depending on the location of the search.  If it pulled the wrong thumbnail for you, it got there via a link (internal or external) and felt that is an appropriate result.  What you do now depends on your goal (change the thumbnail for example).

It's good that you appear with a geo-targeted piece of content.  This means you're responding to local searches.  Google will show different SERP results for every person and location, so there isn't much value/concern over how they see your site.  They see it from "all" locations.