Sorry to read about the decline in your wife’s coordination. Hindsight is great, and looking back I would say that losing coordination was an early indicator for my husband’s dementia. Like with so many things I thought he was becoming clumsy because he was doing two things at the same time! It started small but now he struggles to use cutlery, turn the pages in the newspaper etc.
I would think that the care home must have come across this before.
Just a thought but how is her eyesight? Does she wear glasses - some people struggle using varifocals and this can cause some coordination problems.
Talk with the manager at the care home and ask for her thoughts.