I guess I forgot to mention the other implicit difference in concerns:

When you are a game, you can reasonably assume: I have the user’s full focus and can take all the computing resources of their device, barring a few background apps.

When you are an application, the user will almost always have several other applications running to a meaningful degree, and those eat into available resources (often in a difficult-to-measure way). Unfortunately this rarely gets tested.

I’m not saying you can’t write an app using a game toolkit or vice versa, but you have to be aware of the differences and figure out how to configure it correctly for your use case.

(though actually - some purely-turn-based games that do nothing until user enters input do just fine on app toolkits. But the existence of such games means that game toolkits almost always support some way of supporting the app paradigm. By contrast, app toolkits often lack ready support for continuous game paradigms … unless you use APIs designed for video playback, often involving creating a separate child “window”. Actual video playback is really hard; even the makers of dedicated video-playing programs mess it up.)