I did actually "complain" to them sometime ago, both the far north of Greenland and missing recent glaciers:
Is there some way for you to arrange for pizza delivery, thai restaurant, real estate sale, gypsy cab service, or 'like' button for this location? That would get their attention.
On Google Earth, I do get occasional notices that they have upgraded imagery. There is even a google site that shows the new photos locations on a globe. However new images are acquired at a glacial pace. It is weird in an area like Jakobshavn where the underlying imagery is a pastiche of multiple years with quality varying from terrible on the fjord to great inland.
At my house though, the tailgate of my subaru is clearly open and individual saguaro cactus can be measured from their shadow lengths. That's a lot better than Landsat.
However it seems like they could at least have 15 m Landsat everywhere by now. However they may be buying the whole photo database from a third party like WorldView or that map company they acquired.
USGS, they are just tying in to the Google Earth API, not doing anything on their own. Greenland mostly just needs 100-200 km in from the coast.
Ice penetrating radar, they are still using some awful satellite mosaic from the 1990's.
I saw a new open source mosaic for both Antarctica and Greenland. It is conceivable to import this as a Google Earth overlay, after reprojection to their coords. However it would be a huge slow-to-load file.
To replace the GE server with one serving this mosaic just-in-time as the fundamental image source, that would be a major project. I'm not sure that GE code is 'open source' to this extent.
Alternately, if we could just put EarthExplorer, Sentinel, and the radar tracks onto this polar stereographic mosaic, then GE would not be needed for Greenland or Antarctica. U Alaska Fairbanks has a dedicated polar portal going that may accomplish most of this. It would be a huge time saver vs using multiple sites not dedicated to cryosphere research.