It's a teaching tool to help beginners understand the realities of communicating with deep-space spacecraft.
Hayabusa-2 has two High Gain antennas. The one shown on the left in this view is for X-band (7-8 GHz) which is currently the work-horse of deep space communications. Hayabusa-2 also has a complementary Ka-band high gain antenna on the right, but currently only a few of the Deep Space Network antennas can receive Ka-band. The Japanese ground stations shown can not use Ka-band. According to this answer Ka-band has some sensitivity to weather and water vapor, so it can not be reliably used at all times and all elevations above the horizion, so even though it provides a higher gain and data rate, X-band will still be used frequently for command and general spacecraft data links that don't require it.
There's more about Hayabusa-2's systems including communications here and also at 1 and 2.
Currently the one-way light time is almost 20 minutes. The illustration shows that you can send several commands before the first one is received, and you may still need to wait to find out the results of the first command even after the third command has been acknowledged and perhaps even responded to. The 2nd image below shows the round trip is nearly 40 minutes. Unfortunately the main page does not show the actual distance, but a quick check of Horizons shows about 356 million km, which implies a one-way light time of 1186 seconds or 19.8 minutes.
The main page shows six ground stations used with Hayabusa-2. Only the DSN stations can use Ka-band. See table below.
Visibility of Hayabusa-2 during communications is also shown. In the example shown below, it's clear that by the time the return signal is received in this case Hayabusa-2 has set below the horizon and the return signal would not be received. Thus planning and scheduling is critical to ground station management and successful spacecraft communication scheduling.
stations mentioned:
Agency earth station locations X-band Ka-band
------ --------------------------- ------ -------
JAXA Usuda, Uchinoura X
NASA Goldstone, Canberra, Madrid X X
ESA Malargüe X
It is also pointed out that a ground station can consist of a complex of dish antennas each executing a different task:
Source
Currently there seems to be a bug showing the azimuth of Hayabusa-2 at the Goldstone location constantly moving much faster than is physically possible:
update: it appears this may have been fixed this morning (UTC +8)
The pannel also reflects times when actual communication is happening between Hayabusa-2 and ground stations in the real world. Here JAXA's Usuda Deep Space Center is communicating with Hayabusa-2, something that you can not see on the DSN Now page of course.