Disability I do think there is a difference between a straightforward concept of disability (or definition of 'disability') which is model-neutral, and the various 'models' of disability. The concept of disability is simple - someone can't do something, usually in comparison to others who can. The elephant can't get up the tree in comparison to the monkey who can. This is true whether you place the cause of that inability within the individual or within the environment. The elephant can't get up the tree because it has the wrong kind of body (medical), vs the elephant can't get up the tree because there are no concrete steps next to it (social), vs we shouldn't be expecting the elephant to get up the tree in the first place (capabilities model? But what if it wants to, on an equal basis with the monkey?) The models are approaches/attitudes to disability, suggestive of where the problem exists, and the appropriate way to respond to disability.
The distinction between definition and model is important. It is really important for a disabled person to be able to say "I
can't do that, that's what being
disabled means, that is our starting point" without that prejudicing the response from others. Sometimes a disabled person will want a pill or a prosthetic limb to fix the disability (medical). Sometimes they will want reasonable adjustments to their environment (social). Sometimes they will want to do something else instead that they can do, and challenge any absences of such opportunities in society (capabilities).
Here's a social model definition from PWDA — Banno
This is not a definition of 'disability'. It's a description of the social model of disability. It's the difference between theory and definition. The sun is that yellow disc in the sky up there (definition). It goes round the Earth (theory). The Earth goes round it (theory).