Most depth of field calculators you find online give DoF values based on an accepted Circle of Confusion (CoC). This CoC results from the combination of the selected camera sensor and the following viewing hypothesis:
Print size of 8''×10'' (20cm×25cm).
Viewing distance of 10" (25cm).
Manufacturers standard visual acuity (the viewer can perceive details which size is roughly 0.01”).
This is your app too. But just don’t forget I haven’t your app.
Then you can’t use your app. Your app is based on what I showed above.
But the standard CoC is valuable for larger prints too since larger prints also means larger viewing distance. See PhotoPills Advanced Dof Calculator.
But a small aperture will give more diffraction, which is going to make a larger print appear soft and mushy.
To you maybe, but to those of us who know what we are doing, it is a treasure.
I tell you what. You do things your way and let the rest of the world do things the way they want to. This thread is already way too long and off topic. Folks have all the arguments on both sides. Let them make up their own minds.