I think you’re on the right track! Someone with unilateral vestibular neuritis would likely have acute vertigo for days-weeks. Then, they would likely only have symptoms when performing head turns that might be marked by visual blurring due to impaired VOR/retinal slip. I guess this visual blurring could fit with the definition of oscillopsia, but I tend to think of oscillopsia is the apparent moving/jumping/bouncing of the world around us. (https://www.dizzyandvertigo.com/what-is-oscillopsia-and-how-is-oscillopsia-treated/)
Someone with bilateral hypofunction would have a more classical experience of oscillopsia, as well as imbalance with all mobility. Imbalance will be worse with head/body turns – but more impaired overall than someone with unilateral hypofunction.