What you appear to be describing is called Akinetopsia.
(Greek: a for "without", kine for "to move" and opsia for "seeing")
a neuropsychological disorder in which a patient cannot perceive
motion in their visual field, despite being able to see stationary
objects without issue [...]
There are varying degrees of akinetopsia: from seeing motion as a ...
Dysmetria is a possibility. (Specifically Ocular Dysmetria)
It is a type of ataxia characterised:
is a lack of coordination of movement typified by the undershoot or
overshoot of intended position
It can occur in the major skeletal muscles and the eyes.
During eye movements hypometric and hypermetric saccades will occur [...]
Trying to combine physiotherapy with patching sounds like a parenting nightmare. As the AAO says:
Persuading your child to wear a patch can be a challenge, especially if the vision in the child’s amblyopic eye is very poor and the child is objecting strongly.
They go on to say:
Unfortunately this is an area of treatment where there is no “quick fix” ...