Although interestingly the terminology around disability has been like that for quite a long time - it changed from "do you have a disability" to "do you consider yourself to have a disability" ages ago.
That's been a bit blundered into via the Equality Act I think. The legal definition of disability is pretty vague. When tested in court it's been a case it's very difficult to prove not since the terminology looks at the person's subjective perception of 'significant' and their own assessment on the degree of impact on day to day activities, and the pressure has been on services, education, providers and everyone else under Local Government guidance to consider the definition and consider that persons possible qualification for EA protection and provide reasonable adjustments proactively to protect themselves from legal come back.
So it was probably helpful to ask straight out, do you consider yourself to have a disability, and also seen as a more sensitive way to ask than 'are you disabled'. Professionals leading this are usually very passionate about inclusion, disability rights and sensitivity. That's morphing now towards being interpreted as 'do you IDENTIFY' as having a disability with the new shiny legalities around 'identify'.
A mix between mission creep, people trying to be kind and then being afraid of clear boundaries as too harsh, and the road to hell being paved with good intentions.