Octave quality
Inharmonicity changes how octaves feel and whether they sound musically convincing.
Concept guide
Inharmonicity is one of the key reasons piano tuning is not just about matching ideal frequencies. It changes how partials line up and therefore changes what sounds right.

Inharmonicity changes how octaves feel and whether they sound musically convincing.
It directly affects how much stretch the piano needs across the range.
Two pianos can require meaningfully different treatment because their string behavior differs.
No. It is a real physical property of piano strings that tuning workflow has to account for.
Because it helps explain how the piano should be stretched and voiced musically across the keyboard.
Yes, if the app exposes analysis and sampling instead of only showing a generic pitch indicator.
Install Tempera if you want analysis tools that fit actual acoustic piano work instead of generic tuning only.