Can one say
[color=red]a. He says he likes his desserts like his cars: very big.
b. He says he likes his desserts like he likes his cars: very big.
c. He says he likes his desserts the way he likes his cars: very big.
?
To me ‘very big’ does not indicate a clear and direct relationship with with the first part of the sentence. All the three sentences would, otherwise, mean that he says that he likes the dessert as much as he likes his cars.
I;d say that mthe vast majority (if not all) native English speakers would have no problems with any of them, with the meanings you have indicated, Azz.