I’m not sure how likely this is, but the idea of connecting Kumamoto Airport to the JR Kyushu rail system is being discussed. The image you see is from a Japanese news article. I was prompted to search for this information after seeing the following headline in English:
JR Kyushu agrees to provide funds for Kumamoto Airport rail line extension project https://centreforaviation.com/news/jr-kyushu-agrees-to-provide-funds-for-kumamoto-airport-rail-line-extension-project-881661
The headline is enticing, but it seems that you have to subscribe to the website to get the details.
In other Kumamoto Airport news, here’s an article about plans to privatize the airport:
Japan MLITT commences second round review for Kumamoto Airport privatisation tender https://centreforaviation.com/news/japan-mlitt-commences-second-round-review-for-kumamoto-airport-privatisation-tender-878708
Again, this is just a headline, not a full article, but the following Japanese article confirms that such a second round did indeed occur:
熊本空港民営化、2次審査に3陣営応募 https://kumanichi.com/news/841533/
– Kirk