I'm actually going to go with no because the two negatives aren't on the same verb.
If it was "I wouldn't not own an amazing car for no reason" it would be a double negative.
Yes it is. There are two negatives, one in "wouldn't" and the other the "no".
"I wouldn't own an amazing car for any reason." is not a double negative, because "any" is not a negative.
Yes it is. Anything that makes it sound negative twice. Is a double negative. For example... I dont know nothing..... Or .....I wouldnt say nothing
no